16:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000 Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000 1. :@0.115209:0.520589:0.135654:0.520589:0.135654:0.501896:0.115209:0.501896:0.000000:0.000000:0.000000 Escribe:@0.148451:0.520589:0.208176:0.520589:0.208176:0.502454:0.148451:0.502454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las potencias como multiplicaciones y :@0.208174:0.520589:0.520692:0.520589:0.520692:0.503495:0.208174:0.503495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcula:@0.520689:0.520589:0.578645:0.520589:0.578645:0.502454:0.520689:0.502454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta.:@0.578644:0.520589:0.681651:0.520589:0.681651:0.503495:0.578644:0.503495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.153490:0.545021:0.195062:0.545021:0.195062:0.526584:0.153490:0.526584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8 = :@0.195052:0.545021:0.231367:0.545021:0.231367:0.527927:0.195052:0.527927:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.204863:0.538424:0.210582:0.538424:0.210582:0.528458:0.204863:0.528458:0.000000 ____________________________________:@0.231367:0.544078:0.489563:0.544078:0.489563:0.531257:0.231367:0.531257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.153490:0.566691:0.195062:0.566691:0.195062:0.548254:0.153490:0.548254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6 = :@0.195052:0.566691:0.231367:0.566691:0.231367:0.549596:0.195052:0.549596:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.204861:0.560094:0.210580:0.560094:0.210580:0.550128:0.204861:0.550128:0.000000 ____________________________________:@0.231367:0.565748:0.489563:0.565748:0.489563:0.552927:0.231367:0.552927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.153490:0.588360:0.172728:0.588360:0.172728:0.569923:0.153490:0.569923:0.000000:0.000000:0.000000 20 = :@0.186730:0.588360:0.232856:0.588360:0.232856:0.571266:0.186730:0.571266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.206350:0.581763:0.212069:0.581763:0.212069:0.571797:0.206350:0.571797:0.000000 ___________________________________:@0.232854:0.587417:0.483889:0.587417:0.483889:0.574597:0.232854:0.574597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.153490:0.610029:0.175382:0.610029:0.175382:0.591592:0.153490:0.591592:0.000000:0.000000:0.000000 8,4 = :@0.186730:0.610029:0.236354:0.610029:0.236354:0.592934:0.186730:0.592934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.209848:0.603432:0.215567:0.603432:0.215567:0.593466:0.209848:0.593466:0.000000 ___________________________________:@0.236354:0.609086:0.487388:0.609086:0.487388:0.596265:0.236354:0.596265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e) :@0.153490:0.631698:0.174075:0.631698:0.174075:0.613261:0.153490:0.613261:0.000000:0.000000:0.000000 21 = :@0.186730:0.631698:0.232856:0.631698:0.232856:0.614604:0.186730:0.614604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.206350:0.625101:0.212069:0.625101:0.212069:0.615135:0.206350:0.615135:0.000000 ___________________________________:@0.232854:0.630755:0.483889:0.630755:0.483889:0.617935:0.232854:0.617935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f) :@0.153488:0.653368:0.171842:0.653368:0.171842:0.634931:0.153488:0.634931:0.000000:0.000000:0.000000 5,2 = :@0.186730:0.653368:0.236354:0.653368:0.236354:0.636274:0.186730:0.636274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.209848:0.646771:0.215567:0.646771:0.215567:0.636805:0.209848:0.636805:0.000000 ___________________________________:@0.236352:0.652425:0.487387:0.652425:0.487387:0.639604:0.236352:0.639604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g) :@0.543400:0.558851:0.565131:0.558851:0.565131:0.540414:0.543400:0.540414:0.000000:0.000000:0.000000 3:@0.592138:0.551662:0.601948:0.551662:0.601948:0.533783:0.592138:0.533783:0.000000 4:@0.591937:0.572755:0.601747:0.572755:0.601747:0.554876:0.591937:0.554876:0.000000 ⎛ ⎞:@0.579155:0.553646:0.612003:0.553661:0.612003:0.534002:0.579155:0.533987:0.000000:0.000000:0.000000 ⎝ ⎠:@0.579155:0.571646:0.612003:0.571661:0.612003:0.552002:0.579155:0.551987:0.000000:0.000000:0.000000 ⎜ ⎟:@0.579155:0.565324:0.612003:0.565339:0.612003:0.545680:0.579155:0.545665:0.000000:0.000000:0.000000 3:@0.614596:0.541427:0.620268:0.541427:0.620268:0.531091:0.614596:0.531091:0.000000 =:@0.623234:0.562015:0.634270:0.562015:0.634270:0.542356:0.623234:0.542356:0.000000 h) :@0.543400:0.621804:0.565111:0.621804:0.565111:0.603367:0.543400:0.603367:0.000000:0.000000:0.000000 2:@0.591091:0.613357:0.600901:0.613357:0.600901:0.595478:0.591091:0.595478:0.000000 7:@0.590669:0.634449:0.600479:0.634449:0.600479:0.616570:0.590669:0.616570:0.000000 ⎛ ⎞:@0.579155:0.615341:0.610334:0.615356:0.610334:0.595697:0.579155:0.595682:0.000000:0.000000:0.000000 ⎝ ⎠:@0.579155:0.633340:0.610334:0.633355:0.610334:0.613696:0.579155:0.613681:0.000000:0.000000:0.000000 ⎜ ⎟:@0.579155:0.627019:0.610334:0.627034:0.610334:0.607374:0.579155:0.607359:0.000000:0.000000:0.000000 5:@0.612921:0.603122:0.618592:0.603122:0.618592:0.592785:0.612921:0.592785:0.000000 =:@0.621558:0.623711:0.632595:0.623711:0.632595:0.604051:0.621558:0.604051:0.000000 2. :@0.115281:0.683490:0.135726:0.683490:0.135726:0.664797:0.115281:0.664797:0.000000:0.000000:0.000000 Escribe:@0.148523:0.683490:0.208248:0.683490:0.208248:0.665355:0.148523:0.665355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los productos como potencias y resuelve. :@0.208247:0.683490:0.547597:0.683490:0.547597:0.666396:0.208247:0.666396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Observa:@0.547598:0.683490:0.617275:0.683490:0.617275:0.665355:0.547598:0.665355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el ejemplo.:@0.617273:0.683490:0.709543:0.683490:0.709543:0.666396:0.617273:0.666396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. :@0.115281:0.845659:0.135726:0.845659:0.135726:0.826966:0.115281:0.826966:0.000000:0.000000:0.000000 Desarrolla:@0.148523:0.845659:0.232955:0.845659:0.232955:0.827524:0.148523:0.827524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las siguientes potencias.:@0.232953:0.845659:0.429897:0.845659:0.429897:0.828565:0.232953:0.828565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.148523:0.870892:0.168947:0.870892:0.168947:0.852455:0.148523:0.852455:0.000000:0.000000:0.000000 2 × 2 = :@0.181763:0.870892:0.254394:0.870892:0.254394:0.853798:0.181763:0.853798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.191573:0.864295:0.197292:0.864295:0.197292:0.854329:0.191573:0.854329:0.000000 4:@0.227889:0.864295:0.233608:0.864295:0.233608:0.854329:0.227889:0.854329:0.000000 _______________________________________________________________________________________:@0.254394:0.869949:0.877835:0.869949:0.877835:0.857128:0.254394:0.857128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.148523:0.912176:0.170374:0.912176:0.170374:0.893739:0.148523:0.893739:0.000000:0.000000:0.000000 6 ÷ 6 = :@0.181763:0.912176:0.254394:0.912176:0.254394:0.895081:0.181763:0.895081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.191573:0.905579:0.197292:0.905579:0.197292:0.895613:0.191573:0.895613:0.000000 2:@0.227889:0.905579:0.233608:0.905579:0.233608:0.895613:0.227889:0.895613:0.000000 _______________________________________________________________________________________:@0.254394:0.911233:0.877835:0.911233:0.877835:0.898412:0.254394:0.898412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.175844:0.478094:0.236739:0.478094:0.236739:0.444147:0.175844:0.444147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I.M.3.3.1. Aplica la descomposición de factores primos y el cálculo del m.c.d. y el m.c.m de números naturales en la resolución de :@0.256865:0.460840:0.877721:0.460840:0.877721:0.450868:0.256865:0.450868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 problemas; expresa con claridad y precisión los resultados obtenidos. (I.3., I.4.):@0.256865:0.471401:0.616575:0.471401:0.616575:0.461429:0.256865:0.461429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La potenciación es una multiplicación abreviada. Es la operación de la forma donde es el :@0.115281:0.169440:0.884357:0.169440:0.884357:0.152346:0.115281:0.152346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.745836:0.169440:0.755948:0.169440:0.755948:0.151592:0.745836:0.151592:0.000000 n:@0.755948:0.162843:0.761995:0.162843:0.761995:0.152437:0.755948:0.152437:0.000000 a:@0.826842:0.169440:0.836954:0.169440:0.836954:0.151592:0.826842:0.151592:0.000000 factor y es el número de veces que se repite como factor.:@0.115281:0.187545:0.599934:0.187545:0.599934:0.170451:0.115281:0.170451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.179228:0.187545:0.189601:0.187545:0.189601:0.169697:0.179228:0.169697:0.000000 a:@0.412658:0.187545:0.422769:0.187545:0.422769:0.169697:0.412658:0.169697:0.000000 n:@0.449690:0.205442:0.496249:0.205442:0.496249:0.187593:0.449690:0.187593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 veces:@0.496247:0.205442:0.545559:0.205442:0.545559:0.188347:0.496247:0.188347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.398864:0.245216:0.408975:0.245216:0.408975:0.227368:0.398864:0.227368:0.000000 n:@0.408975:0.238619:0.415023:0.238619:0.415023:0.228214:0.408975:0.228214:0.000000 = × × × ×... × :@0.415021:0.245216:0.586276:0.245216:0.586276:0.228122:0.415021:0.228122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.435808:0.245216:0.445919:0.245216:0.445919:0.227368:0.435808:0.227368:0.000000 a:@0.466706:0.245216:0.476818:0.245216:0.476818:0.227368:0.466706:0.227368:0.000000 a:@0.497604:0.245216:0.507716:0.245216:0.507716:0.227368:0.497604:0.227368:0.000000 a:@0.528500:0.245216:0.538612:0.245216:0.538612:0.227368:0.528500:0.227368:0.000000 a:@0.586276:0.245216:0.596388:0.245216:0.596388:0.227368:0.586276:0.227368:0.000000 Los términos de la potenciación son: base, exponente y potencia. :@0.115281:0.270642:0.640702:0.270642:0.640702:0.253547:0.115281:0.253547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El cuadrado de un número es multiplicar el número por sí mismo: = × . :@0.115281:0.292310:0.728821:0.292310:0.728821:0.275216:0.115281:0.275216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.643295:0.292310:0.653406:0.292310:0.653406:0.274461:0.643295:0.274461:0.000000 2:@0.653406:0.285713:0.659126:0.285713:0.659126:0.275747:0.653406:0.275747:0.000000 a:@0.679912:0.292310:0.690024:0.292310:0.690024:0.274461:0.679912:0.274461:0.000000 a:@0.710808:0.292310:0.720920:0.292310:0.720920:0.274461:0.710808:0.274461:0.000000 El cubo de un número es el resultado de multiplicar un número por sí mismo tres veces: :@0.115281:0.313979:0.884478:0.313979:0.884478:0.296885:0.115281:0.296885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.879969:0.313979:0.884372:0.313979:0.884372:0.296885:0.879969:0.296885:0.000000 a:@0.115281:0.332085:0.125393:0.332085:0.125393:0.314236:0.115281:0.314236:0.000000 3:@0.125393:0.325488:0.131112:0.325488:0.131112:0.315522:0.125393:0.315522:0.000000 = × × . :@0.131112:0.332085:0.230137:0.332085:0.230137:0.314990:0.131112:0.314990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.151898:0.332085:0.162010:0.332085:0.162010:0.314236:0.151898:0.314236:0.000000 a a:@0.182796:0.332085:0.222236:0.332085:0.222236:0.314236:0.182796:0.314236:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad resuelta:@0.115281:0.362705:0.285497:0.362705:0.285497:0.342731:0.115281:0.342731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Escribimos:@0.115281:0.384059:0.205403:0.384059:0.205403:0.365924:0.115281:0.365924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las siguientes potencias en forma de multiplicación.:@0.205402:0.384059:0.622812:0.384059:0.622812:0.366965:0.205402:0.366965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Potenciación como operación multiplicativa de naturales:@0.115891:0.137374:0.876031:0.137374:0.876031:0.096637:0.115891:0.096637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M.3.1.19. Identificar la potenciación como una operación multiplicativa en los números naturales. :@0.125388:0.074999:0.579333:0.074999:0.579333:0.065028:0.125388:0.065028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.054104:0.122645:0.076408:0.122645:0.076408:0.065614:0.054104:0.065614:0.000000 a) :@0.115354:0.416859:0.135779:0.416859:0.135779:0.398422:0.115354:0.398422:0.000000:0.000000:0.000000 13 = 13 × 13 × 13:@0.148595:0.416859:0.295155:0.416859:0.295155:0.399765:0.148595:0.399765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.168215:0.410262:0.173934:0.410262:0.173934:0.400296:0.168215:0.400296:0.000000 b) :@0.392757:0.416859:0.414609:0.416859:0.414609:0.398422:0.392757:0.398422:0.000000:0.000000:0.000000 (2,5) = 2,5 × 2,5 × 2,5 × 2,5:@0.425999:0.416859:0.629618:0.416859:0.629618:0.399765:0.425999:0.399765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.457760:0.410262:0.463479:0.410262:0.463479:0.400296:0.457760:0.400296:0.000000 c) :@0.691848:0.415782:0.711086:0.415782:0.711086:0.397345:0.691848:0.397345:0.000000:0.000000:0.000000 2:@0.736252:0.404822:0.746062:0.404822:0.746062:0.387728:0.736252:0.387728:0.000000 5:@0.736252:0.427563:0.746062:0.427563:0.746062:0.410469:0.736252:0.410469:0.000000 = × :@0.762825:0.416163:0.818642:0.416163:0.818642:0.399069:0.762825:0.399069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.785829:0.404822:0.795639:0.404822:0.795639:0.387728:0.785829:0.387728:0.000000 5:@0.785829:0.427563:0.795639:0.427563:0.795639:0.410469:0.785829:0.410469:0.000000 2:@0.820860:0.404822:0.830670:0.404822:0.830670:0.387728:0.820860:0.387728:0.000000 5:@0.820860:0.427563:0.830670:0.427563:0.830670:0.410469:0.820860:0.410469:0.000000 a) :@0.148559:0.706762:0.168984:0.706762:0.168984:0.688325:0.148559:0.688325:0.000000:0.000000:0.000000 2 × 2 × 2 = 2 = 8:@0.181800:0.706762:0.319714:0.706762:0.319714:0.689667:0.181800:0.689667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.283398:0.700165:0.289117:0.700165:0.289117:0.690199:0.283398:0.690199:0.000000 b) :@0.148559:0.728431:0.170411:0.728431:0.170411:0.709994:0.148559:0.709994:0.000000:0.000000:0.000000 7 × 7 = :@0.181800:0.728431:0.242993:0.728431:0.242993:0.711337:0.181800:0.711337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 __________________________________:@0.242991:0.727488:0.486864:0.727488:0.486864:0.714667:0.242991:0.714667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.148559:0.750101:0.167798:0.750101:0.167798:0.731664:0.148559:0.731664:0.000000:0.000000:0.000000 3 × 3 × 3 × 3 × 3 = :@0.181800:0.750101:0.334782:0.750101:0.334782:0.733006:0.181800:0.733006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 _____________________:@0.334779:0.749158:0.485551:0.749158:0.485551:0.736337:0.334779:0.736337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.148559:0.771769:0.170451:0.771769:0.170451:0.753332:0.148559:0.753332:0.000000:0.000000:0.000000 8 × 8 × 8 × 8 × 8 × 8 = :@0.181800:0.771769:0.365379:0.771769:0.365379:0.754675:0.181800:0.754675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 _________________:@0.365376:0.770826:0.487501:0.770826:0.487501:0.758005:0.365376:0.758005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e) :@0.148559:0.793439:0.169145:0.793439:0.169145:0.775002:0.148559:0.775002:0.000000:0.000000:0.000000 4 × 4 × 4 = :@0.181800:0.793439:0.272584:0.793439:0.272584:0.776344:0.181800:0.776344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ______________________________:@0.272348:0.792496:0.487574:0.792496:0.487574:0.779675:0.272348:0.779675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f) :@0.540917:0.706762:0.559271:0.706762:0.559271:0.688325:0.540917:0.688325:0.000000:0.000000:0.000000 10 × 10 × 10 × 10 = :@0.574159:0.706762:0.735786:0.706762:0.735786:0.689667:0.574159:0.689667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ____________________:@0.735783:0.705819:0.879393:0.705819:0.879393:0.692998:0.735783:0.692998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g) :@0.540917:0.751622:0.562649:0.751622:0.562649:0.733185:0.540917:0.733185:0.000000:0.000000:0.000000 1:@0.579165:0.743870:0.588975:0.743870:0.588975:0.726775:0.579165:0.726775:0.000000 5:@0.579165:0.761264:0.588975:0.761264:0.588975:0.744170:0.579165:0.744170:0.000000 × × × = :@0.593979:0.751276:0.736587:0.751276:0.736587:0.734182:0.593979:0.734182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.619771:0.743870:0.629581:0.743870:0.629581:0.726775:0.619771:0.726775:0.000000 5:@0.619771:0.761264:0.629581:0.761264:0.629581:0.744170:0.619771:0.744170:0.000000 1:@0.660379:0.743870:0.670189:0.743870:0.670189:0.726775:0.660379:0.726775:0.000000 5:@0.660379:0.761264:0.670189:0.761264:0.670189:0.744170:0.660379:0.744170:0.000000 1:@0.700985:0.743870:0.710795:0.743870:0.710795:0.726775:0.700985:0.726775:0.000000 5:@0.700985:0.761264:0.710795:0.761264:0.710795:0.744170:0.700985:0.744170:0.000000 h) :@0.540917:0.806527:0.562628:0.806527:0.562628:0.788090:0.540917:0.788090:0.000000:0.000000:0.000000 3:@0.579165:0.798775:0.588975:0.798775:0.588975:0.781680:0.579165:0.781680:0.000000 8:@0.579165:0.816169:0.588975:0.816169:0.588975:0.799075:0.579165:0.799075:0.000000 × × × × =:@0.593979:0.806181:0.772791:0.806181:0.772791:0.789087:0.593979:0.789087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.619771:0.798775:0.629581:0.798775:0.629581:0.781680:0.619771:0.781680:0.000000 8:@0.619771:0.816169:0.629581:0.816169:0.629581:0.799075:0.619771:0.799075:0.000000 3:@0.660379:0.798775:0.670189:0.798775:0.670189:0.781680:0.660379:0.781680:0.000000 8:@0.660379:0.816169:0.670189:0.816169:0.670189:0.799075:0.660379:0.799075:0.000000 3:@0.700985:0.798775:0.710795:0.798775:0.710795:0.781680:0.700985:0.781680:0.000000 8:@0.700985:0.816169:0.710795:0.816169:0.710795:0.799075:0.700985:0.799075:0.000000 3:@0.741593:0.798775:0.751403:0.798775:0.751403:0.781680:0.741593:0.781680:0.000000 8:@0.741593:0.816169:0.751403:0.816169:0.751403:0.799075:0.741593:0.799075:0.000000 __________________________:@0.637488:0.571903:0.873697:0.571903:0.873697:0.554809:0.637488:0.554809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 _____________:@0.777324:0.821295:0.895931:0.821295:0.895931:0.804201:0.777324:0.804201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ________________:@0.738385:0.762806:0.884130:0.762806:0.884130:0.745712:0.738385:0.745712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ___________________________:@0.634692:0.634848:0.879947:0.634848:0.879947:0.617753:0.634692:0.617753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000