Potenzieren von Potenzen

Potenzieren von Potenzen: ( a m ) n = a m ⋅ ... ⋅ a m = a m + ... + m = a m ⋅ n MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8XjY=vipgYlh9vqqj=hEeeu0xXdbb a9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9q8qqaq=dir=f0=yq aiVgFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabaqaamaaeaqbaaGcba WaaeWaaeaacaWGHbWaaWbaaSqabeaacaWGTbaaaaGccaGLOaGaayzk aaWaaWbaaSqabeaacaWGUbaaaOGaeyypa0JaamyyamaaCaaaleqaba GaamyBaaaakiabgwSixlaac6cacaGGUaGaaiOlaiabgwSixlaadgga daahaaWcbeqaaiaad2gaaaGccqGH9aqpcaWGHbWaaWbaaSqabeaaca WGTbGaey4kaSIaaiOlaiaac6cacaGGUaGaey4kaSIaamyBaaaakiab g2da9iaadggadaahaaWcbeqaaiaad2gacqGHflY1caWGUbaaaaaa@575F@ Wird eine Potenz noch einmal potenziert, so können die Exponenten einfach multipliziert werden. Beispiele: ( 2 3 ) 4 = 2 3 ⋅ 4 = 2 12 MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8XjY=vipgYlh9vqqj=hEeeu0xXdbb a9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9q8qqaq=dir=f0=yq aiVgFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabaqaamaaeaqbaaGcba WaaeWaaeaacaaIYaWaaWbaaSqabeaacaaIZaaaaaGccaGLOaGaayzk aaWaaWbaaSqabeaacaaI0aaaaOGaeyypa0JaaGOmamaaCaaaleqaba GaaG4maiabgwSixlaaisdaaaGccqGH9aqpcaaIYaWaaWbaaSqabeaa caaIXaGaaGOmaaaaaaa@45F8@ ( 4 2 ) 3 = 4 2 ⋅ 3 = 4 6 MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfi