簡約 (-243)^{4/5}

解

簡約

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

81

解答ステップ

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

指数の規則を適用する:

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

(- 243)^{\frac{4}{5}} = (- 1)^{\frac{4}{5}} \cdot 24 3^{\frac{4}{5}}

= (- 1)^{\frac{4}{5}} \cdot 24 3^{\frac{4}{5}}

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

= 1 \cdot 24 3^{\frac{4}{5}}

24 3^{\frac{4}{5}} = 81

= 1 \cdot 81

数を乗じる:

1 \cdot 81 = 81

= 81