簡約 (-1/3)^{4/5}*(1/3)^{3/5}

解

簡約

(- \frac{1}{3})^{\frac{4}{5}} \cdot (\frac{1}{3})^{\frac{3}{5}}

(- \frac{1}{3})^{\frac{4}{5}} \frac{1}{3 ^{\frac{3}{5}}}

解答ステップ

(- \frac{1}{3})^{\frac{4}{5}} (\frac{1}{3})^{\frac{3}{5}}

指数の規則を適用する:

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

(\frac{1}{3})^{\frac{3}{5}} = \frac{1 ^{\frac{3}{5}}}{3 ^{\frac{3}{5}}}

= (- \frac{1}{3})^{\frac{4}{5}} \frac{1 ^{\frac{3}{5}}}{3 ^{\frac{3}{5}}}

規則を適用

1^{a} = 1

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

= (- \frac{1}{3})^{\frac{4}{5}} \frac{1}{3 ^{\frac{3}{5}}}