簡約 (\sqrt[5]{8y})^2

解

簡約

(5 8 y)^{2}

8^{\frac{2}{5}} y^{\frac{2}{5}}

解答ステップ

(5 8 y)^{2}

累乗根の規則を適用する:

n a = a^{\frac{1}{n}}

= ((8 y)^{\frac{1}{5}})^{2}

指数の規則を適用する:

(a^{b})^{c} = a^{b c}

= (8 y)^{\frac{1}{5} \cdot 2}

\frac{1}{5} \cdot 2 = \frac{2}{5}

= (8 y)^{\frac{2}{5}}

指数の規則を適用する:

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

= 8^{\frac{2}{5}} y^{\frac{2}{5}}