簡約 (a^6b^{24})^{1/6}

解

簡約

(a^{6} b^{24})^{\frac{1}{6}}

a b^{4}

解答ステップ

(a^{6} b^{24})^{\frac{1}{6}}

指数の規則を適用する:

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

(a^{6} b^{24})^{\frac{1}{6}} = (a^{6})^{\frac{1}{6}} (b^{24})^{\frac{1}{6}}

= (a^{6})^{\frac{1}{6}} (b^{24})^{\frac{1}{6}}

簡素化

(a^{6})^{\frac{1}{6}} : a

= a (b^{24})^{\frac{1}{6}}

簡素化

(b^{24})^{\frac{1}{6}} : b^{4}

= a b^{4}