53:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Aplicaciones de la potenciación de números reales:@0.096359:0.137532:0.619198:0.137532:0.619198:0.115723:0.096359:0.115723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una de las aplicaciones de la potenciación de números reales se encuentra en :@0.096359:0.160313:0.698722:0.160313:0.698722:0.144644:0.096359:0.144644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la solución de ecuaciones exponenciales, las cuales se verán con más detalle en :@0.096359:0.176910:0.698757:0.176910:0.698757:0.161240:0.096359:0.161240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cursos superiores, así como también en notación científica.:@0.096359:0.193506:0.528080:0.193506:0.528080:0.177836:0.096359:0.177836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.274007:0.165865:0.274007:0.165865:0.258895:0.096359:0.258895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontrar el valor de   en el siguiente ejercicio:   :@0.096359:0.297796:0.450737:0.297796:0.450737:0.282126:0.096359:0.282126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.251446:0.297796:0.258909:0.297796:0.258909:0.281434:0.251446:0.281434:0.000000
e:@0.457993:0.296458:0.466930:0.296458:0.471524:0.280788:0.462586:0.280788:0.000000
e:@0.503012:0.296458:0.511949:0.296458:0.516542:0.280788:0.507605:0.280788:0.000000
e:@0.535205:0.296458:0.544142:0.296458:0.548735:0.280788:0.539798:0.280788:0.000000
x:@0.482971:0.285339:0.487553:0.285339:0.490215:0.276258:0.485633:0.276258:0.000000
2:@0.469634:0.288797:0.474846:0.288797:0.474846:0.279715:0.469634:0.279715:0.000000
2:@0.514660:0.288797:0.519871:0.288797:0.519871:0.279715:0.514660:0.279715:0.000000
4:@0.547271:0.288797:0.552483:0.288797:0.552483:0.279715:0.547271:0.279715:0.000000
():@0.453353:0.301852:0.483095:0.301852:0.483095:0.277247:0.453353:0.277247:0.000000:0.000000
÷:@0.493349:0.297135:0.503466:0.297135:0.503466:0.281562:0.493349:0.281562:0.000000
=:@0.524344:0.297135:0.534461:0.297135:0.534461:0.281562:0.524344:0.281562:0.000000
Solución:@0.096359:0.315925:0.157020:0.315925:0.157020:0.300812:0.096359:0.300812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver la ecuación, es necesario que en los dos miembros tengamos la :@0.096359:0.339963:0.698759:0.339963:0.698759:0.324293:0.096359:0.324293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma base, de tal manera que se puedan igualar exponentes y resolver aplicando :@0.096359:0.356559:0.698736:0.356559:0.698736:0.340890:0.096359:0.340890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las propiedades de la potenciación.:@0.096359:0.373156:0.355043:0.373156:0.355043:0.357486:0.096359:0.357486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.411963:0.100395:0.411963:0.100395:0.396294:0.096359:0.396294:0.000000
e:@0.107653:0.401909:0.116590:0.401909:0.121183:0.386239:0.112246:0.386239:0.000000
e:@0.152671:0.401909:0.161609:0.401909:0.166202:0.386239:0.157265:0.386239:0.000000
e:@0.184865:0.401909:0.193802:0.401909:0.198395:0.386239:0.189458:0.386239:0.000000
x:@0.132632:0.390790:0.137213:0.390790:0.139875:0.381709:0.135294:0.381709:0.000000
2:@0.119293:0.394248:0.124505:0.394248:0.124505:0.385166:0.119293:0.385166:0.000000
2:@0.164319:0.394248:0.169531:0.394248:0.169531:0.385166:0.164319:0.385166:0.000000
4:@0.196930:0.394248:0.202142:0.394248:0.202142:0.385166:0.196930:0.385166:0.000000
():@0.103012:0.407303:0.132755:0.407303:0.132755:0.382698:0.103012:0.382698:0.000000:0.000000
÷:@0.143009:0.402587:0.153126:0.402587:0.153126:0.387014:0.143009:0.387014:0.000000
=:@0.174005:0.402587:0.184121:0.402587:0.184121:0.387014:0.174005:0.387014:0.000000
El dividendo debe tener exponente 6 para que, al restar 2 obtengamos 4, de :@0.096369:0.429155:0.698732:0.429155:0.698732:0.413485:0.096369:0.413485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acuerdo a la propiedad de cociente de bases iguales. Para obtener 6,   debe tener :@0.096369:0.445751:0.698709:0.445751:0.698709:0.430081:0.096369:0.430081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.602186:0.445751:0.609649:0.445751:0.609649:0.429390:0.602186:0.429390:0.000000
un valor de 3, pues al aplicar la propiedad potencia de potencia 2 x 3 = 6.:@0.096369:0.462347:0.630468:0.462347:0.630468:0.446678:0.096369:0.446678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación científica:@0.096359:0.491541:0.290879:0.491541:0.290879:0.469731:0.096359:0.469731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta herramienta matemática sirve para expresar de una manera corta cantidades :@0.096359:0.514322:0.698665:0.514322:0.698665:0.498652:0.096359:0.498652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bastante grandes o muy pequeñas, haciendo uso de un dígito y la potenciación :@0.096359:0.530918:0.698720:0.530918:0.698720:0.515248:0.096359:0.515248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con base 10. :@0.096359:0.547514:0.191906:0.547514:0.191906:0.531845:0.096359:0.531845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.569417:0.165865:0.569417:0.165865:0.554304:0.096359:0.554304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresar en notación científica el número 3 200 000 000.:@0.096359:0.593455:0.509134:0.593455:0.509134:0.577785:0.096359:0.577785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.615356:0.157020:0.615356:0.157020:0.600243:0.096359:0.600243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorremos la coma decimal hacia la izquierda hasta que quede un solo dígito en :@0.096359:0.639395:0.698794:0.639395:0.698794:0.623726:0.096359:0.623726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la parte entera.:@0.096359:0.655992:0.206020:0.655992:0.206020:0.640322:0.096359:0.640322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,200 000 000 (9 posiciones):@0.096359:0.679711:0.302657:0.679711:0.302657:0.664041:0.096359:0.664041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A este número se le retiran los ceros y se lo multiplica por la base 10, a la cual se le :@0.096359:0.703430:0.698812:0.703430:0.698812:0.687760:0.096359:0.687760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coloca como exponente el número de posiciones que se recorrió la coma decimal.:@0.096359:0.720026:0.694647:0.720026:0.694647:0.704356:0.096359:0.704356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,2   10:@0.096359:0.743745:0.158958:0.743745:0.158958:0.728075:0.096359:0.728075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.121587:0.744326:0.136937:0.744326:0.136937:0.726720:0.121587:0.726720:0.000000
9:@0.158958:0.737713:0.164200:0.737713:0.164200:0.728577:0.158958:0.728577:0.000000
Ejemplo 4:@0.096359:0.765662:0.165865:0.765662:0.165865:0.750550:0.096359:0.750550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresar en notación científica el número 0,000 000 897.:@0.096359:0.789701:0.508305:0.789701:0.508305:0.774031:0.096359:0.774031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.811602:0.157020:0.811602:0.157020:0.796489:0.096359:0.796489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorremos la coma decimal hacia la derecha hasta conseguir un dígito en la parte :@0.096359:0.835641:0.698777:0.835641:0.698777:0.819971:0.096359:0.819971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entera del número que resultará después de retirar los ceros.:@0.096359:0.852238:0.538891:0.852238:0.538891:0.836568:0.096359:0.836568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
000 000 08,97 (7 posiciones) :@0.096359:0.875957:0.306692:0.875957:0.306692:0.860287:0.096359:0.860287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos por 10 y el exponente por colocar será igual al número de posiciones :@0.096359:0.899676:0.698775:0.899676:0.698775:0.884006:0.096359:0.884006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se movió la coma decimal con signo negativo.:@0.096359:0.916272:0.467910:0.916272:0.467910:0.900602:0.096359:0.900602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8,97   10:@0.096359:0.939991:0.167950:0.939991:0.167950:0.924321:0.096359:0.924321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.130579:0.940572:0.145929:0.940572:0.145929:0.922966:0.130579:0.922966:0.000000
–7:@0.167949:0.933959:0.178563:0.933959:0.178563:0.924824:0.167949:0.924824:0.000000:0.000000
Matemática  :@0.770432:0.157225:0.862939:0.157225:0.862939:0.141861:0.770432:0.141861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Astronomía:@0.764920:0.172313:0.861515:0.172313:0.861515:0.156949:0.764920:0.156949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las masas de los :@0.732672:0.187401:0.846086:0.187401:0.846086:0.173155:0.732672:0.173155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
planetas del sistema :@0.732672:0.202488:0.871529:0.202488:0.871529:0.188243:0.732672:0.188243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solar requieren de :@0.732672:0.217576:0.856521:0.217576:0.856521:0.203331:0.732672:0.203331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notación científica para :@0.732672:0.232664:0.892557:0.232664:0.892557:0.218418:0.732672:0.218418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser expresadas de mejor :@0.732672:0.247751:0.897447:0.247751:0.897447:0.233506:0.732672:0.233506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera.:@0.732672:0.262839:0.786564:0.262839:0.786564:0.248594:0.732672:0.248594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.750163:0.132714:0.901498:0.132714:0.901498:0.115814:0.750163:0.115814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planetas:@0.736249:0.283704:0.798006:0.283704:0.798006:0.268126:0.736249:0.268126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Masa (kg):@0.815270:0.283704:0.887003:0.283704:0.887003:0.268126:0.815270:0.268126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mercurio:@0.738326:0.302349:0.795870:0.302349:0.795870:0.288104:0.738326:0.288104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,3   10:@0.817917:0.303795:0.874824:0.303795:0.874824:0.289550:0.817917:0.289550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.840851:0.304323:0.854805:0.304323:0.854805:0.288318:0.840851:0.288318:0.000000
23:@0.874824:0.298299:0.884357:0.298299:0.884357:0.289994:0.874824:0.289994:0.000000:0.000000
Venus:@0.747607:0.321806:0.786606:0.321806:0.786606:0.307561:0.747607:0.307561:0.000000:0.000000:0.000000:0.000000:0.000000
4,87   10:@0.813829:0.323265:0.878912:0.323265:0.878912:0.309019:0.813829:0.309019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.844938:0.323793:0.858893:0.323793:0.858893:0.307787:0.844938:0.307787:0.000000
24:@0.878912:0.317761:0.888444:0.317761:0.888444:0.309456:0.878912:0.309456:0.000000:0.000000
Tierra:@0.749475:0.341268:0.784738:0.341268:0.784738:0.327023:0.749475:0.327023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,98   10:@0.813837:0.342726:0.878920:0.342726:0.878920:0.328481:0.813837:0.328481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.844947:0.343254:0.858901:0.343254:0.858901:0.327249:0.844947:0.327249:0.000000
24:@0.878912:0.337223:0.888444:0.337223:0.888444:0.328918:0.878912:0.328918:0.000000:0.000000
Marte :@0.748101:0.360730:0.789779:0.360730:0.789779:0.346484:0.748101:0.346484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,42   10:@0.813837:0.362188:0.878920:0.362188:0.878920:0.347943:0.813837:0.347943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.844947:0.362716:0.858901:0.362716:0.858901:0.346711:0.844947:0.346711:0.000000
23:@0.878912:0.356684:0.888444:0.356684:0.888444:0.348379:0.878912:0.348379:0.000000:0.000000
Júpiter:@0.745328:0.380193:0.788885:0.380193:0.788885:0.365948:0.745328:0.365948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,9   10:@0.817917:0.381651:0.874824:0.381651:0.874824:0.367406:0.817917:0.367406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.840851:0.382179:0.854805:0.382179:0.854805:0.366174:0.840851:0.366174:0.000000
27:@0.874824:0.376147:0.884357:0.376147:0.884357:0.367842:0.874824:0.367842:0.000000:0.000000
Saturno:@0.741911:0.399654:0.792302:0.399654:0.792302:0.385409:0.741911:0.385409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,69   10:@0.813829:0.401100:0.878912:0.401100:0.878912:0.386855:0.813829:0.386855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.844938:0.401628:0.858893:0.401628:0.858893:0.385623:0.844938:0.385623:0.000000
26:@0.878912:0.395609:0.888444:0.395609:0.888444:0.387304:0.878912:0.387304:0.000000:0.000000
Urano:@0.747314:0.420059:0.786899:0.420059:0.786899:0.405814:0.747314:0.405814:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.786899:0.420688:0.791061:0.420688:0.791061:0.402251:0.786899:0.402251:0.000000
8,69   10:@0.813831:0.420568:0.878914:0.420568:0.878914:0.406323:0.813831:0.406323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.844940:0.421097:0.858895:0.421097:0.858895:0.405091:0.844940:0.405091:0.000000
25:@0.878912:0.415071:0.888444:0.415071:0.888444:0.406766:0.878912:0.406766:0.000000:0.000000
Neptuno:@0.738100:0.438578:0.796113:0.438578:0.796113:0.424333:0.738100:0.424333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,02   10:@0.813837:0.440024:0.878920:0.440024:0.878920:0.425779:0.813837:0.425779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.844947:0.440552:0.858901:0.440552:0.858901:0.424547:0.844947:0.424547:0.000000
26:@0.878912:0.434533:0.888444:0.434533:0.888444:0.426228:0.878912:0.426228:0.000000:0.000000
Una ecuación exponencial es aquella en la que la incógnita se encuentra en el :@0.112370:0.224347:0.636312:0.224347:0.636312:0.210101:0.112370:0.210101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponente.  :@0.112370:0.241898:0.195209:0.241898:0.195209:0.227653:0.112370:0.227653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.194343:0.241823:0.203612:0.241823:0.208740:0.226430:0.199470:0.226430:0.000000
x:@0.206425:0.234162:0.211006:0.234162:0.214031:0.225081:0.209450:0.225081:0.000000
1:@0.212066:0.235606:0.215821:0.235606:0.215821:0.229062:0.212066:0.229062:0.000000
=:@0.219920:0.242501:0.230036:0.242501:0.230036:0.226928:0.219920:0.226928:0.000000
a:@0.229000:0.241823:0.238269:0.241823:0.243397:0.226430:0.234128:0.226430:0.000000
x:@0.241082:0.234162:0.245664:0.234162:0.248689:0.225081:0.244107:0.225081:0.000000
2:@0.247194:0.235606:0.250950:0.235606:0.250950:0.229062:0.247194:0.229062:0.000000
x:@0.276406:0.241823:0.284312:0.241823:0.289531:0.226153:0.281626:0.226153:0.000000
1:@0.286405:0.243827:0.291617:0.243827:0.291617:0.234746:0.286405:0.234746:0.000000
=:@0.294310:0.242501:0.304427:0.242501:0.304427:0.226928:0.294310:0.226928:0.000000
x:@0.306090:0.241823:0.313995:0.241823:0.319215:0.226153:0.311309:0.226153:0.000000
2:@0.316769:0.243827:0.321980:0.243827:0.321980:0.234746:0.316769:0.234746:0.000000
Notación científica  :@0.733044:0.586096:0.874968:0.586096:0.874968:0.570732:0.733044:0.570732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la calculadora:@0.733044:0.601183:0.854732:0.601183:0.854732:0.585819:0.733044:0.585819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para ingresar números :@0.733044:0.623400:0.884886:0.623400:0.884886:0.609155:0.733044:0.609155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en notación científica :@0.733044:0.638488:0.880632:0.638488:0.880632:0.624242:0.733044:0.624242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la calculadora, :@0.733044:0.653575:0.851952:0.653575:0.851952:0.639330:0.733044:0.639330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se usa la tecla EXP :@0.733044:0.668663:0.856859:0.668663:0.856859:0.654418:0.733044:0.654418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o   10 . Así, por :@0.733044:0.683750:0.844283:0.683749:0.844283:0.669504:0.733044:0.669505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.745625:0.684279:0.759580:0.684279:0.759580:0.668273:0.745625:0.668273:0.000000
X:@0.779597:0.678252:0.784930:0.678252:0.784930:0.669947:0.779597:0.669947:0.000000
ejemplo, para ingresar :@0.733047:0.698837:0.884470:0.698837:0.884470:0.684592:0.733047:0.684592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,1 10 , escribimos :@0.733047:0.713924:0.872575:0.713924:0.872575:0.699679:0.733047:0.699679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.752312:0.714452:0.766267:0.714452:0.766267:0.698447:0.752312:0.698447:0.000000
-4:@0.782613:0.708427:0.790289:0.708427:0.790289:0.700122:0.782613:0.700122:0.000000:0.000000
el número 5,1. Luego, :@0.733046:0.729012:0.879845:0.729012:0.879845:0.714767:0.733046:0.714767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oprimimos la tecla :@0.733046:0.744100:0.859859:0.744100:0.859859:0.729854:0.733046:0.729854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EXP y finalmente, :@0.733046:0.759187:0.851802:0.759187:0.851802:0.744942:0.733046:0.744942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colocamos el número :@0.733046:0.774275:0.881922:0.774275:0.881922:0.760030:0.733046:0.760030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– 4. Al presionar =, :@0.733046:0.789362:0.859424:0.789362:0.859424:0.775117:0.733046:0.775117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observamos en la :@0.733046:0.804450:0.854348:0.804450:0.854348:0.790205:0.733046:0.790205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pantalla lo siguiente::@0.733046:0.819538:0.870648:0.819538:0.870648:0.805292:0.733046:0.805292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.733046:0.841754:0.736714:0.841754:0.736714:0.827509:0.733046:0.827509:0.000000
Competencia digital:@0.747853:0.560465:0.898755:0.560465:0.898755:0.543564:0.747853:0.543564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde::@0.732669:0.458222:0.806111:0.458222:0.806111:0.443109:0.732669:0.443109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿por qué :@0.806111:0.458222:0.872702:0.458222:0.872702:0.443977:0.806111:0.443977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se utiliza la notación :@0.732669:0.473310:0.871395:0.473310:0.871395:0.459064:0.732669:0.459064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
científica para expresar :@0.732669:0.488397:0.889252:0.488397:0.889252:0.474152:0.732669:0.474152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las masas de los planetas?:@0.732669:0.503485:0.896675:0.503485:0.896675:0.489240:0.732669:0.489240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000