簡約 (-3/4)^{3/5}

解

簡約

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

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

十進法表記

- 0.84146 \dots

解答ステップ

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

指数の規則を適用する:

(- a)^{\frac{m}{n}} = (- 1)^{\frac{m}{n}} (a)^{\frac{m}{n}}

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

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

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

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

乗算:

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

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