Potenzieren von Brüchen

Wenn Brüche potenziert werden sollen, kann also zuerst der Zähler potenziert werden und dann durch den potenzierten Nenner geteilt werden. ( a b ) n = a b ⋅ ... ⋅ a b = a ⋅ ... ⋅ a b ⋅ ... ⋅ b = a n b n MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8XjY=vipgYlh9vqqj=hEeeu0xXdbb a9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9q8qqaq=dir=f0=yq aiVgFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabaqaamaaeaqbaaGcba WaaeWaaeaadaWcaaqaaiaadggaaeaacaWGIbaaaaGaayjkaiaawMca amaaCaaaleqabaGaamOBaaaakiabg2da9maalaaabaGaamyyaaqaai aadkgaaaGaeyyXICTaaiOlaiaac6cacaGGUaGaeyyXIC9aaSaaaeaa caWGHbaabaGaamOyaaaacqGH9aqpdaWcaaqaaiaadggacqGHflY1ca GGUaGaaiOlaiaac6cacqGHflY1caWGHbaabaGaamOyaiabgwSixlaa c6cacaGGUaGaaiOlaiabgwSixlaadkgaaaGaeyypa0ZaaSaaaeaaca WGHbWaaWbaaSqabeaacaWGUbaaaaGcbaGaamOyamaaCaaaleqabaGa amOBaaaaaaaaaa@5FD1@ Beispiel 1: ( 1 4 ) 3 = 1 3 4 3 = 1 64 MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8XjY=vipgYlh9vqqj=hEeeu0xXdbb a9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9q8qqaq=dir=f0=yq aiVgFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabaqaamaaeaqbaaGcba WaaeWaaeaadaWcaaqaaiaaigdaaeaacaaI0aaaaaGaayjkaiaawMca amaaCaaaleqabaGaaG4maaaakiabg2da9maalaaabaGaaGymamaaCa aaleqabaGaaG4maaaaaOqaaiaaisdadaahaaWcbeqaaiaaiodaaaaa aOGaeyypa0ZaaSaaaeaacaaIXaaabaGaaGOnaiaaisdaaaaaaa@4472@ Beispiel 2: ( 2 3 ) 2 = 2 2 3 2 = 4 9