簡約 (2m^5n^{11})^6

解

簡約

(2 m^{5} n^{11})^{6}

64 m^{30} n^{66}

解答ステップ

(2 m^{5} n^{11})^{6}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

(2 m^{5} n^{11})^{6} = 2^{6} (m^{5})^{6} (n^{11})^{6}

= 2^{6} (m^{5})^{6} (n^{11})^{6}

2^{6} = 64

= 64 (m^{5})^{6} (n^{11})^{6}

簡素化

(m^{5})^{6} : m^{30}

= 64 m^{30} (n^{11})^{6}

簡素化

(n^{11})^{6} : n^{66}

= 64 m^{30} n^{66}