簡約 (160*243)^{1/5}

解

簡約

(160 \cdot 243)^{\frac{1}{5}}

6 \cdot 5^{\frac{1}{5}}

十進法表記

8.27837 \dots

解答ステップ

(160 \cdot 243)^{\frac{1}{5}}

指数の規則を適用する:

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

(160 \cdot 243)^{\frac{1}{5}} = 16 0^{\frac{1}{5}} \cdot 24 3^{\frac{1}{5}}

= 16 0^{\frac{1}{5}} \cdot 24 3^{\frac{1}{5}}

16 0^{\frac{1}{5}} = 2 \cdot 5^{\frac{1}{5}}

= 2 \cdot 5^{\frac{1}{5}} \cdot 24 3^{\frac{1}{5}}

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

= 2 \cdot 5^{\frac{1}{5}} \cdot 3

数を乗じる:

2 \cdot 3 = 6

= 6 \cdot 5^{\frac{1}{5}}