簡約 (32x^{10}y^{15})^{1/5}

解

簡約

(32 x^{10} y^{15})^{\frac{1}{5}}

2 x^{2} y^{3}

解答ステップ

(32 x^{10} y^{15})^{\frac{1}{5}}

指数の規則を適用する:

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

(32 x^{10} y^{15})^{\frac{1}{5}} = 3 2^{\frac{1}{5}} (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

= 3 2^{\frac{1}{5}} (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

3 2^{\frac{1}{5}} = 2

= 2 (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

簡素化

(x^{10})^{\frac{1}{5}} : x^{2}

= 2 x^{2} (y^{15})^{\frac{1}{5}}

簡素化

(y^{15})^{\frac{1}{5}} : y^{3}

= 2 x^{2} y^{3}