簡約 (2x^2y^4)^3

解

簡約

(2 x^{2} y^{4})^{3}

8 x^{6} y^{12}

解答ステップ

(2 x^{2} y^{4})^{3}

指数の規則を適用する:

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

(2 x^{2} y^{4})^{3} = 2^{3} (x^{2})^{3} (y^{4})^{3}

= 2^{3} (x^{2})^{3} (y^{4})^{3}

2^{3} = 8

= 8 (x^{2})^{3} (y^{4})^{3}

簡素化

(x^{2})^{3} : x^{6}

= 8 x^{6} (y^{4})^{3}

簡素化

(y^{4})^{3} : y^{12}

= 8 x^{6} y^{12}