簡約 (x^{1/3}y^{1/3})^4

解

簡約

(x^{\frac{1}{3}} y^{\frac{1}{3}})^{4}

x^{\frac{4}{3}} y^{\frac{4}{3}}

解答ステップ

(x^{\frac{1}{3}} y^{\frac{1}{3}})^{4}

指数の規則を適用する:

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

(x^{\frac{1}{3}} y^{\frac{1}{3}})^{4} = (x^{\frac{1}{3}})^{4} (y^{\frac{1}{3}})^{4}

= (x^{\frac{1}{3}})^{4} (y^{\frac{1}{3}})^{4}

簡素化

(x^{\frac{1}{3}})^{4} : x^{\frac{4}{3}}

= x^{\frac{4}{3}} (y^{\frac{1}{3}})^{4}

簡素化

(y^{\frac{1}{3}})^{4} : y^{\frac{4}{3}}

= x^{\frac{4}{3}} y^{\frac{4}{3}}