38:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Potenciación con exponentes  :@0.404235:0.120539:0.774178:0.120539:0.774178:0.075879:0.404235:0.075879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros. Propiedades:@0.404235:0.158258:0.662255:0.158258:0.662255:0.113598:0.404235:0.113598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.2. Deducir propiedades algebraicas de la potenciación de números reales con exponentes enteros y fraccionarios en la simplificación de expresiones numéricas y :@0.143847:0.951210:0.883322:0.951210:0.883322:0.941168:0.143847:0.941168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas.:@0.143847:0.960011:0.192512:0.960011:0.192512:0.949969:0.143847:0.949969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.404236:0.188480:0.488423:0.188480:0.488423:0.171534:0.404236:0.171534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean       y :@0.488425:0.188017:0.590416:0.188017:0.590416:0.171520:0.488425:0.171520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.529056:0.188133:0.538033:0.188133:0.538033:0.171664:0.529056:0.171664:0.000000
:@0.541520:0.187801:0.557568:0.187801:0.557568:0.173154:0.541520:0.173154:0.000000
R:@0.561055:0.187049:0.574965:0.187049:0.574965:0.173602:0.561055:0.173602:0.000000
n:@0.589761:0.188133:0.599124:0.188133:0.599124:0.171664:0.589761:0.171664:0.000000
:@0.599124:0.187801:0.615171:0.187801:0.615171:0.173154:0.599124:0.173154:0.000000
N:@0.615171:0.187049:0.630160:0.187049:0.630160:0.173602:0.615171:0.173602:0.000000
. Las potencias de   se definen como :@0.630160:0.188017:0.895906:0.188017:0.895906:0.171520:0.630160:0.171520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.756172:0.188133:0.765149:0.188133:0.765149:0.171664:0.756172:0.171664:0.000000
n:@0.765165:0.181664:0.770781:0.181664:0.770781:0.172046:0.765165:0.172046:0.000000
sigue::@0.404240:0.205368:0.442847:0.205368:0.442847:0.188870:0.404240:0.188870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.404240:0.239086:0.418862:0.239086:0.418862:0.222372:0.404240:0.222372:0.000000:0.000000:0.000000
  Si   ≠ 0,  :@0.418862:0.238870:0.491530:0.238870:0.491530:0.222372:0.418862:0.222372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.443926:0.238985:0.452904:0.238985:0.452904:0.222517:0.443926:0.222517:0.000000
a  :@0.498293:0.230700:0.516371:0.230703:0.516371:0.214234:0.498293:0.214232:0.000000:0.000000:0.000000
0:@0.507275:0.224235:0.512228:0.224235:0.512228:0.214617:0.507275:0.214617:0.000000
= 1,:@0.516371:0.230587:0.542572:0.230587:0.542572:0.214089:0.516371:0.214089:0.000000:0.000000:0.000000:0.000000
a:@0.498300:0.248054:0.507278:0.248054:0.507278:0.231585:0.498300:0.231585:0.000000
n + 1:@0.507275:0.241586:0.528975:0.241586:0.528975:0.231968:0.507275:0.231968:0.000000:0.000000:0.000000:0.000000:0.000000
 = a a, n = 0, 1, 2:@0.528975:0.248054:0.645133:0.248054:0.645133:0.231585:0.528975:0.231585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.557120:0.241586:0.562736:0.241586:0.562736:0.231968:0.557120:0.231968:0.000000
,…:@0.645133:0.247938:0.662934:0.247938:0.662934:0.231440:0.645133:0.231440:0.000000:0.000000
ii) :@0.404236:0.273789:0.423116:0.273789:0.423116:0.257074:0.404236:0.257074:0.000000:0.000000:0.000000:0.000000
 Si   = 0, 0  = 0, para   = 1, 2,…:@0.423116:0.273572:0.641345:0.273572:0.641345:0.257074:0.423116:0.257074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.443923:0.273687:0.452900:0.273687:0.452900:0.257219:0.443923:0.257219:0.000000
n:@0.495889:0.267287:0.501347:0.267287:0.501347:0.257686:0.495889:0.257686:0.000000
n:@0.571200:0.273687:0.580563:0.273687:0.580563:0.257219:0.571200:0.257219:0.000000
iii) :@0.404230:0.291139:0.427368:0.291139:0.427368:0.274425:0.404230:0.274425:0.000000:0.000000:0.000000:0.000000:0.000000
 Si   = 0 y   = 0, 0  no está definido.:@0.427368:0.290922:0.676268:0.290922:0.676268:0.274425:0.427368:0.274425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.443917:0.291038:0.452894:0.291038:0.452894:0.274569:0.443917:0.274569:0.000000
n:@0.496588:0.291038:0.505951:0.291038:0.505951:0.274569:0.496588:0.274569:0.000000
0:@0.548943:0.284571:0.553897:0.284571:0.553897:0.274953:0.548943:0.274953:0.000000
El número real   se llama base de la potencia y el número natural   :@0.404245:0.323354:0.895985:0.323354:0.895985:0.306856:0.404245:0.306856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.513787:0.323470:0.522764:0.323470:0.522764:0.307001:0.513787:0.307001:0.000000
n:@0.882479:0.323470:0.891843:0.323470:0.891843:0.307001:0.882479:0.307001:0.000000
se denomina exponente. El número real   se lee “  a la potencia  ”.:@0.404245:0.340705:0.881264:0.340712:0.881264:0.324214:0.404245:0.324207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.690370:0.340820:0.699348:0.340820:0.699348:0.324352:0.690370:0.324352:0.000000
n:@0.699184:0.334427:0.704643:0.334427:0.704643:0.324826:0.699184:0.324826:0.000000
a:@0.757504:0.340827:0.766481:0.340827:0.766481:0.324359:0.757504:0.324359:0.000000
n:@0.864985:0.340827:0.874348:0.340827:0.874348:0.324359:0.864985:0.324359:0.000000
Ejercicio resuelto:@0.404239:0.373519:0.522217:0.373519:0.522217:0.356732:0.404239:0.356732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomando en consideración que  3:@0.404239:0.392200:0.659359:0.392480:0.659359:0.375982:0.404239:0.375702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.670668:0.380968:0.675621:0.380968:0.675621:0.371350:0.670668:0.371350:0.000000
= 3, las primeras potencias de :@0.679830:0.392212:0.895907:0.392212:0.895907:0.375714:0.679830:0.375714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  son::@0.415857:0.408573:0.463269:0.409556:0.463269:0.393059:0.415857:0.392075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.419176:0.446243:0.427672:0.446243:0.427672:0.429745:0.419176:0.429745:0.000000
0:@0.438981:0.434730:0.443934:0.434730:0.443934:0.425112:0.438981:0.425112:0.000000
 = 1,    3:@0.448143:0.445974:0.514345:0.446243:0.514345:0.429745:0.448143:0.429476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.525654:0.434730:0.530607:0.434730:0.530607:0.425112:0.525654:0.425112:0.000000
 =  3 ,    3:@0.534816:0.445974:0.616019:0.446243:0.616019:0.429745:0.534816:0.429476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.627330:0.434730:0.632283:0.434730:0.632283:0.425112:0.627330:0.425112:0.000000
 = 3,    3:@0.636490:0.445974:0.702693:0.446243:0.702693:0.429745:0.636490:0.429476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.714003:0.434730:0.718956:0.434730:0.718956:0.425112:0.714003:0.425112:0.000000
 = 3 3 ,:@0.723163:0.445974:0.776763:0.445969:0.776763:0.429471:0.723163:0.429476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.419176:0.482655:0.427672:0.482655:0.427672:0.466157:0.419176:0.466157:0.000000
4:@0.438981:0.471143:0.443934:0.471143:0.443934:0.461525:0.438981:0.461525:0.000000
 =  3:@0.448143:0.482387:0.490669:0.482655:0.490669:0.466157:0.448143:0.465889:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.501978:0.471143:0.506931:0.471143:0.506931:0.461525:0.501978:0.461525:0.000000
  3  =  3:@0.511140:0.482387:0.579295:0.482655:0.579295:0.466157:0.511140:0.465889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3   3  = 3 ×  3:@0.590757:0.482655:0.709578:0.482655:0.709578:0.466157:0.590757:0.466157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.720887:0.471143:0.725840:0.471143:0.725840:0.461525:0.720887:0.461525:0.000000
 = 3 × 3 = 9.:@0.730049:0.482387:0.815567:0.482387:0.815567:0.465889:0.730049:0.465889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404235:0.521918:0.484318:0.521918:0.484318:0.504972:0.404235:0.504972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sea       con   ≠ 0. Se define con :@0.484320:0.521455:0.745806:0.521455:0.745806:0.504957:0.484320:0.504957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.519479:0.521571:0.528457:0.521571:0.528457:0.505102:0.519479:0.505102:0.000000
:@0.532599:0.521238:0.548647:0.521238:0.548647:0.506591:0.532599:0.506591:0.000000
R:@0.552789:0.520486:0.566698:0.520486:0.566698:0.507039:0.552789:0.507039:0.000000
a:@0.601935:0.521571:0.610912:0.521571:0.610912:0.505102:0.601935:0.505102:0.000000
a:@0.745806:0.521571:0.754783:0.521571:0.754783:0.505102:0.745806:0.505102:0.000000
–n:@0.754780:0.515166:0.766090:0.515166:0.766090:0.505564:0.754780:0.505564:0.000000:0.000000
 =   con :@0.766090:0.521451:0.837064:0.521451:0.837064:0.504953:0.766090:0.504953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.789257:0.513907:0.797752:0.513907:0.797752:0.497410:0.789257:0.497410:0.000000
a:@0.786367:0.530362:0.795344:0.530362:0.795344:0.513893:0.786367:0.513893:0.000000
n:@0.795187:0.523967:0.800645:0.523967:0.800645:0.514365:0.795187:0.514365:0.000000
n:@0.837064:0.521567:0.846427:0.521567:0.846427:0.505098:0.837064:0.505098:0.000000
:@0.846427:0.521234:0.862475:0.521234:0.862475:0.506587:0.846427:0.506587:0.000000
N:@0.862475:0.520482:0.877463:0.520482:0.877463:0.507036:0.862475:0.507036:0.000000
.:@0.877463:0.521451:0.880218:0.521451:0.880218:0.504953:0.877463:0.504953:0.000000
De la definición anterior de potenciación de números reales con ex-:@0.404231:0.556153:0.891758:0.556153:0.891758:0.539655:0.404231:0.539655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ponentes naturales y con exponentes enteros negativos, podemos :@0.404231:0.573503:0.895857:0.573503:0.895857:0.557006:0.404231:0.557006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definir la potenciación de números reales con exponentes enteros. :@0.404231:0.590854:0.895965:0.590854:0.895965:0.574356:0.404231:0.574356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos así la siguiente definición.:@0.404231:0.608205:0.652133:0.608205:0.652133:0.591707:0.404231:0.591707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición. :@0.404231:0.643369:0.492445:0.643369:0.492445:0.626423:0.404231:0.626423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea       con   ≠ 0 y m    . Se define: :@0.492445:0.642906:0.786874:0.642906:0.786874:0.626409:0.492445:0.626409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.520707:0.643022:0.529684:0.643022:0.529684:0.626553:0.520707:0.626553:0.000000
:@0.533827:0.642690:0.549875:0.642690:0.549875:0.628043:0.533827:0.628043:0.000000
R:@0.554017:0.641938:0.567926:0.641938:0.567926:0.628491:0.554017:0.628491:0.000000
a:@0.603162:0.643022:0.612140:0.643022:0.612140:0.626553:0.603162:0.626553:0.000000
:@0.674868:0.642690:0.690916:0.642690:0.690916:0.628043:0.674868:0.628043:0.000000
Z:@0.695058:0.641938:0.707908:0.641938:0.707908:0.628491:0.695058:0.628491:0.000000
a:@0.573688:0.680138:0.582666:0.680138:0.582666:0.663669:0.573688:0.663669:0.000000
m:@0.582522:0.673738:0.591148:0.673738:0.591148:0.664136:0.582522:0.664136:0.000000
 =  1:@0.591148:0.680022:0.634015:0.680622:0.634015:0.664124:0.591148:0.663524:0.000000:0.000000:0.000000:0.000000:0.000000
a , m ≥ :@0.617002:0.666561:0.689428:0.666568:0.689428:0.650099:0.617002:0.650092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.625825:0.660168:0.634451:0.660168:0.634451:0.650566:0.625825:0.650566:0.000000
 si :@0.637123:0.666452:0.655464:0.666452:0.655464:0.649954:0.637123:0.649954:0.000000:0.000000:0.000000:0.000000
0,:@0.689428:0.666452:0.700679:0.666452:0.700679:0.649954:0.689428:0.649954:0.000000:0.000000
a:@0.617909:0.697076:0.626886:0.697076:0.626886:0.680607:0.617909:0.680607:0.000000
–:@0.626882:0.690615:0.633004:0.690615:0.633004:0.680997:0.626882:0.680997:0.000000
m:@0.633004:0.690682:0.641629:0.690682:0.641629:0.681081:0.633004:0.681081:0.000000
 ,  m < :@0.642531:0.685767:0.701829:0.685767:0.701829:0.669298:0.642531:0.669298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si :@0.653666:0.685651:0.667864:0.685651:0.667864:0.669153:0.653666:0.669153:0.000000:0.000000:0.000000
0.:@0.701829:0.685651:0.713080:0.685651:0.713080:0.669153:0.701829:0.669153:0.000000:0.000000
Nótese que si   < 0, entonces –  > 0. Además, si   < 0, existe un :@0.404236:0.714723:0.896017:0.714723:0.896017:0.698226:0.404236:0.698226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.507862:0.714839:0.522658:0.714839:0.522658:0.698370:0.507862:0.698370:0.000000
m:@0.640734:0.714839:0.655530:0.714839:0.655530:0.698370:0.640734:0.698370:0.000000
m:@0.775243:0.714839:0.790038:0.714839:0.790038:0.698370:0.775243:0.698370:0.000000
 :@0.891763:0.714723:0.895905:0.714723:0.895905:0.698226:0.891763:0.698226:0.000000
n:@0.404236:0.732190:0.413599:0.732190:0.413599:0.715721:0.404236:0.715721:0.000000
:@0.413599:0.731857:0.429647:0.731857:0.429647:0.717210:0.413599:0.717210:0.000000
N:@0.429647:0.731105:0.444635:0.731105:0.444635:0.717659:0.429647:0.717659:0.000000
 con   ≥ 1, tales que   = –  y –  =  . Luego::@0.444635:0.732074:0.768136:0.732074:0.768136:0.715577:0.444635:0.715577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.479870:0.732190:0.489233:0.732190:0.489233:0.715721:0.479870:0.715721:0.000000
m:@0.591473:0.732190:0.606269:0.732190:0.606269:0.715721:0.591473:0.715721:0.000000
n:@0.635861:0.732190:0.645223:0.732190:0.645223:0.715721:0.635861:0.715721:0.000000
m n:@0.671829:0.732190:0.715079:0.732190:0.715079:0.715721:0.671829:0.715721:0.000000:0.000000:0.000000
a:@0.575909:0.761035:0.584886:0.761035:0.584886:0.744567:0.575909:0.744567:0.000000
m:@0.584737:0.754631:0.593363:0.754631:0.593363:0.745030:0.584737:0.745030:0.000000
 = :@0.593362:0.760917:0.612454:0.760917:0.612454:0.744419:0.593362:0.744419:0.000000:0.000000:0.000000
a:@0.612454:0.761032:0.621432:0.761032:0.621432:0.744564:0.612454:0.744564:0.000000
–n:@0.621433:0.754631:0.632743:0.754631:0.632743:0.745030:0.621433:0.745030:0.000000:0.000000
 =   = :@0.632742:0.760917:0.687572:0.760917:0.687572:0.744419:0.632742:0.744419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.655909:0.753373:0.664405:0.753373:0.664405:0.736875:0.655909:0.736875:0.000000
a:@0.653019:0.769827:0.661997:0.769827:0.661997:0.753358:0.653019:0.753358:0.000000
n:@0.661839:0.763432:0.667298:0.763432:0.667298:0.753831:0.661839:0.753831:0.000000
1:@0.696088:0.753373:0.704584:0.753373:0.704584:0.736875:0.696088:0.736875:0.000000
a:@0.688478:0.769827:0.697456:0.769827:0.697456:0.753358:0.688478:0.753358:0.000000
–:@0.697450:0.763365:0.703571:0.763365:0.703571:0.753747:0.697450:0.753747:0.000000
m:@0.703571:0.763432:0.712197:0.763432:0.712197:0.753831:0.703571:0.753831:0.000000
 .:@0.713100:0.761032:0.720093:0.761032:0.720093:0.744564:0.713100:0.744564:0.000000:0.000000
Propiedades:@0.404240:0.788794:0.499485:0.788794:0.499485:0.771848:0.404240:0.771848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema.:@0.404240:0.806144:0.475712:0.806144:0.475712:0.789198:0.404240:0.789198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean :@0.475714:0.805682:0.517230:0.805682:0.517230:0.789184:0.475714:0.789184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b:@0.516806:0.805797:0.541312:0.805797:0.541312:0.789329:0.516806:0.789329:0.000000:0.000000:0.000000:0.000000
     no nulos,:@0.541331:0.805682:0.647292:0.805682:0.647292:0.789184:0.541331:0.789184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.545049:0.805465:0.561097:0.805465:0.561097:0.790818:0.545049:0.790818:0.000000
R:@0.564815:0.804713:0.578725:0.804713:0.578725:0.791266:0.564815:0.791266:0.000000
 m, n:@0.647292:0.805797:0.681430:0.805797:0.681430:0.789329:0.647292:0.789329:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.681447:0.805465:0.697495:0.805465:0.697495:0.790818:0.681447:0.790818:0.000000
Z:@0.697495:0.804713:0.710345:0.804713:0.710345:0.791266:0.697495:0.791266:0.000000
. Se verifican las siguientes :@0.710345:0.805682:0.895868:0.805682:0.895868:0.789184:0.710345:0.789184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades::@0.404220:0.823032:0.495632:0.823032:0.495632:0.806535:0.404220:0.806535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.404220:0.847135:0.418843:0.847135:0.418843:0.830421:0.404220:0.830421:0.000000:0.000000:0.000000
 :@0.418843:0.846919:0.422985:0.846919:0.422985:0.830421:0.418843:0.830421:0.000000
a a  = a:@0.427955:0.847034:0.487835:0.847032:0.487835:0.830563:0.427955:0.830565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.436803:0.840631:0.459689:0.840631:0.459689:0.831029:0.436803:0.831029:0.000000:0.000000:0.000000
m+n:@0.487680:0.840631:0.508110:0.840631:0.508110:0.831029:0.487680:0.831029:0.000000:0.000000:0.000000
     :@0.508109:0.847032:0.532499:0.847032:0.532499:0.830563:0.508109:0.830563:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.516393:0.846916:0.524215:0.846916:0.524215:0.830418:0.516393:0.830418:0.000000
a a  = a:@0.427966:0.864628:0.499846:0.864634:0.499846:0.848165:0.427966:0.848160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–n –m:@0.436957:0.858233:0.471700:0.858233:0.471700:0.848632:0.436957:0.848632:0.000000:0.000000:0.000000:0.000000:0.000000
–(m + n):@0.499845:0.858233:0.537292:0.858233:0.537292:0.848632:0.499845:0.848632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.537290:0.864518:0.540045:0.864518:0.540045:0.848021:0.537290:0.848021:0.000000
ii) :@0.404245:0.892193:0.423125:0.892193:0.423125:0.875478:0.404245:0.875478:0.000000:0.000000:0.000000:0.000000
 :@0.423125:0.891976:0.427267:0.891976:0.427267:0.875478:0.423125:0.875478:0.000000
a:@0.429147:0.884542:0.438125:0.884542:0.438125:0.868073:0.429147:0.868073:0.000000
m:@0.437970:0.878142:0.446596:0.878142:0.446596:0.868541:0.437970:0.868541:0.000000
a:@0.430730:0.900887:0.439708:0.900887:0.439708:0.884418:0.430730:0.884418:0.000000
n:@0.439554:0.894487:0.445012:0.894487:0.445012:0.884886:0.439554:0.884886:0.000000
 = :@0.447764:0.891970:0.466856:0.891970:0.466856:0.875473:0.447764:0.875473:0.000000:0.000000:0.000000
a:@0.466856:0.892086:0.475833:0.892086:0.475833:0.875617:0.466856:0.875617:0.000000
m–n:@0.475678:0.885686:0.495615:0.885686:0.495615:0.876085:0.475678:0.876085:0.000000:0.000000:0.000000
.:@0.495614:0.891970:0.498369:0.891970:0.498369:0.875473:0.495614:0.875473:0.000000
iii) :@0.404239:0.921423:0.427376:0.921423:0.427376:0.904709:0.404239:0.904709:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ):@0.427376:0.921206:0.457334:0.921205:0.457334:0.904708:0.427376:0.904709:0.000000:0.000000:0.000000:0.000000
a:@0.433926:0.921322:0.442904:0.921322:0.442904:0.904853:0.433926:0.904853:0.000000
m n:@0.442755:0.914921:0.462793:0.914921:0.462793:0.905319:0.442755:0.905319:0.000000:0.000000:0.000000
 = a .:@0.462793:0.921321:0.507451:0.921321:0.507451:0.904852:0.462793:0.904852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mn:@0.490784:0.914921:0.504779:0.914921:0.504779:0.905319:0.490784:0.905319:0.000000:0.000000
iv) :@0.664617:0.846004:0.687504:0.846004:0.687504:0.829290:0.664617:0.829290:0.000000:0.000000:0.000000:0.000000
 (:@0.687504:0.845788:0.694305:0.845788:0.694305:0.829290:0.687504:0.829290:0.000000:0.000000
a:@0.694305:0.845903:0.703282:0.845903:0.703282:0.829434:0.694305:0.829434:0.000000
–m n:@0.703295:0.839499:0.729185:0.839499:0.729185:0.829898:0.703295:0.829898:0.000000:0.000000:0.000000:0.000000
)  = ( ):@0.717772:0.845783:0.777631:0.845783:0.777631:0.829286:0.717772:0.829286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.754229:0.845899:0.763207:0.845899:0.763207:0.829430:0.754229:0.829430:0.000000
m –n:@0.763052:0.839499:0.788941:0.839499:0.788941:0.829898:0.763052:0.829898:0.000000:0.000000:0.000000:0.000000
 = a:@0.788940:0.845899:0.817086:0.845899:0.817086:0.829430:0.788940:0.829430:0.000000:0.000000:0.000000:0.000000
–mn:@0.817086:0.839499:0.836932:0.839499:0.836932:0.829898:0.817086:0.829898:0.000000:0.000000:0.000000
.:@0.836932:0.845783:0.839687:0.845783:0.839687:0.829286:0.836932:0.829286:0.000000
v) :@0.664624:0.877752:0.683330:0.877752:0.683330:0.861037:0.664624:0.861037:0.000000:0.000000:0.000000
 (:@0.683330:0.877535:0.694311:0.877535:0.694311:0.861037:0.683330:0.861037:0.000000:0.000000
ab)  = a b:@0.694311:0.877651:0.772322:0.877648:0.772322:0.861180:0.694311:0.861182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.717880:0.871248:0.726506:0.871248:0.726506:0.861647:0.717880:0.861647:0.000000
m m:@0.754497:0.871248:0.780891:0.871248:0.780891:0.861647:0.754497:0.861647:0.000000:0.000000:0.000000
.:@0.780890:0.877533:0.783645:0.877533:0.783645:0.861035:0.780890:0.861035:0.000000
vi) :@0.664625:0.909501:0.687569:0.909501:0.687569:0.892787:0.664625:0.892787:0.000000:0.000000:0.000000:0.000000
 :@0.687569:0.909284:0.691712:0.909284:0.691712:0.892787:0.687569:0.892787:0.000000
a:@0.694549:0.901854:0.703526:0.901854:0.703526:0.885385:0.694549:0.885385:0.000000
b:@0.694394:0.918192:0.703661:0.918192:0.703661:0.901724:0.694394:0.901724:0.000000
m:@0.709708:0.896711:0.718334:0.896711:0.718334:0.887110:0.709708:0.887110:0.000000
 = :@0.718334:0.909398:0.737503:0.909398:0.737503:0.892929:0.718334:0.892929:0.000000:0.000000:0.000000
a:@0.738669:0.901854:0.747647:0.901854:0.747647:0.885385:0.738669:0.885385:0.000000
m:@0.747493:0.895454:0.756119:0.895454:0.756119:0.885853:0.747493:0.885853:0.000000
a:@0.740254:0.918199:0.749232:0.918199:0.749232:0.901730:0.740254:0.901730:0.000000
n:@0.749078:0.911799:0.754536:0.911799:0.754536:0.902198:0.749078:0.902198:0.000000
 .:@0.757286:0.909282:0.764183:0.909282:0.764183:0.892784:0.757286:0.892784:0.000000:0.000000
Saberes previos:@0.199646:0.101454:0.307805:0.101454:0.307805:0.085981:0.199646:0.085981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son los elemen-:@0.199884:0.130082:0.352968:0.130082:0.352968:0.115019:0.199884:0.115019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos de la potenciación?:@0.153341:0.145924:0.301994:0.145924:0.301994:0.130861:0.153341:0.130861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.189511:0.363493:0.189511:0.363493:0.174039:0.199646:0.174039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿De qué forma calcula-:@0.199884:0.218139:0.348307:0.218139:0.348307:0.203075:0.199884:0.203075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rías rápidamente la expresión 6  :@0.153341:0.233981:0.362544:0.233981:0.362544:0.218917:0.153341:0.218917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.354239:0.228181:0.358761:0.228181:0.358761:0.219400:0.354239:0.219400:0.000000
y sin hacer uso de calculadora?:@0.153346:0.249823:0.352496:0.249823:0.352496:0.234759:0.153346:0.234759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199644:0.335098:0.297267:0.335098:0.297267:0.319625:0.199644:0.319625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.347666:0.283707:0.347666:0.283707:0.332193:0.199644:0.332193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El triángulo  :@0.199880:0.372562:0.288286:0.372562:0.288286:0.357089:0.199880:0.357089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Sierpinski :@0.153337:0.388404:0.246474:0.388404:0.246474:0.372931:0.153337:0.372931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El triangulo de Sierpinski con-:@0.153337:0.410952:0.344822:0.410952:0.344822:0.395889:0.153337:0.395889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siste en partir de un triángulo :@0.153337:0.426794:0.347371:0.426794:0.347371:0.411731:0.153337:0.411731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilátero, unir los puntos me-:@0.153337:0.442636:0.352296:0.442636:0.352296:0.427573:0.153337:0.427573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dios de los lados consecutivos :@0.153337:0.458478:0.351659:0.458478:0.351659:0.443415:0.153337:0.443415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y remover la región triangular :@0.153337:0.474320:0.347477:0.474320:0.347477:0.459257:0.153337:0.459257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
localizada en la parte interior. :@0.153337:0.490162:0.345997:0.490162:0.345997:0.475099:0.153337:0.475099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al realizar consecutivamente el :@0.153337:0.506004:0.357958:0.506004:0.357958:0.490941:0.153337:0.490941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proceso anterior, se logra cons-:@0.153337:0.521846:0.354039:0.521846:0.354039:0.506783:0.153337:0.506783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
truir los siguientes triángulos y, :@0.153337:0.537688:0.354725:0.537688:0.354725:0.522625:0.153337:0.522625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con procesos matemáticos, se :@0.153337:0.553530:0.350850:0.553530:0.350850:0.538467:0.153337:0.538467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina el área removida en :@0.153337:0.569372:0.353703:0.569372:0.353703:0.554309:0.153337:0.554309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada paso.:@0.153337:0.585214:0.221004:0.585214:0.221004:0.570151:0.153337:0.570151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.225448:0.606997:0.233303:0.606997:0.233303:0.594109:0.225448:0.594109:0.000000
Ω:@0.195158:0.615099:0.206089:0.615099:0.206089:0.602188:0.195158:0.602188:0.000000
1:@0.206085:0.617669:0.209962:0.617669:0.209962:0.610142:0.206085:0.610142:0.000000
A:@0.165054:0.663476:0.173874:0.663476:0.173874:0.650588:0.165054:0.650588:0.000000
B:@0.285158:0.663476:0.292350:0.663476:0.292350:0.650588:0.285158:0.650588:0.000000
Ω:@0.261295:0.688690:0.272226:0.688690:0.272226:0.675779:0.261295:0.675779:0.000000
1:@0.272226:0.691255:0.276102:0.691255:0.276102:0.683728:0.272226:0.683728:0.000000
C:@0.297299:0.677189:0.305154:0.677189:0.305154:0.664300:0.297299:0.664300:0.000000
A:@0.235106:0.734571:0.243926:0.734571:0.243926:0.721682:0.235106:0.721682:0.000000
B:@0.354864:0.734571:0.362055:0.734571:0.362055:0.721682:0.354864:0.721682:0.000000
Ω:@0.167614:0.752873:0.178545:0.752873:0.178545:0.739962:0.167614:0.739962:0.000000
2:@0.178543:0.755438:0.182419:0.755438:0.182419:0.747911:0.178543:0.747911:0.000000
C:@0.191970:0.730154:0.199825:0.730154:0.199825:0.717265:0.191970:0.717265:0.000000
A:@0.154202:0.787219:0.163022:0.787219:0.163022:0.774330:0.154202:0.774330:0.000000
B:@0.251691:0.786676:0.258882:0.786676:0.258882:0.773787:0.251691:0.773787:0.000000
C:@0.296520:0.761682:0.304375:0.761682:0.304375:0.748793:0.296520:0.748793:0.000000
A:@0.257817:0.829587:0.266637:0.829587:0.266637:0.816699:0.257817:0.816699:0.000000
B:@0.354311:0.829044:0.361502:0.829044:0.361502:0.816156:0.354311:0.816156:0.000000
p:@0.303038:0.846323:0.314519:0.846323:0.314519:0.836299:0.303038:0.836299:0.000000
 :@0.314519:0.847031:0.317400:0.847031:0.317400:0.835554:0.314519:0.835554:0.000000
Figura 1.8.:@0.317400:0.847031:0.365969:0.847031:0.365969:0.835554:0.317400:0.835554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.153344:0.876158:0.200976:0.876158:0.200976:0.860686:0.153344:0.860686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre Wacław Franciszek :@0.200976:0.875736:0.365291:0.875736:0.365291:0.860673:0.200976:0.860673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sierpiński, luego :@0.153344:0.891578:0.268646:0.891578:0.268646:0.876515:0.153344:0.876515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confecciona:@0.277054:0.892000:0.361504:0.892000:0.361504:0.876528:0.277054:0.876528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.361504:0.891578:0.365286:0.891578:0.365286:0.876515:0.361504:0.876515:0.000000
una ficha bibliográfica.:@0.153344:0.907420:0.299339:0.907420:0.299339:0.892357:0.153344:0.892357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dr. Benálcazar H.:@0.139073:0.829690:0.139073:0.783138:0.127604:0.783138:0.127604:0.829690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000