簡約 (8x^{(-2)/3})x^{1/6}

解

簡約

(8 x^{\frac{- 2}{3}}) x^{\frac{1}{6}}

\frac{8}{x ^{\frac{1}{2}}}

解答ステップ

(8 x^{\frac{- 2}{3}}) x^{\frac{1}{6}}

簡素化

8 x^{\frac{- 2}{3}} : \frac{8}{x ^{\frac{2}{3}}}

= \frac{8}{x ^{\frac{2}{3}}} x^{\frac{1}{6}}

分数の規則を適用する:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{8 x ^{\frac{1}{6}}}{x ^{\frac{2}{3}}}

簡素化

\frac{x ^{\frac{1}{6}}}{x ^{\frac{2}{3}}} : \frac{1}{x ^{\frac{1}{2}}}

= \frac{8}{x ^{\frac{1}{2}}}