簡約 (6\sqrt[8]{x})8\sqrt[5]{x}

解

簡約

(6 8 x) 8 5 x

48 x^{\frac{13}{40}}

解答ステップ

(6 8 x) \cdot 8 5 x

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

8 x 5 x = x^{\frac{1}{8}} x^{\frac{1}{5}} = x^{\frac{1}{8} + \frac{1}{5}}

= 6 \cdot 8 x^{\frac{1}{8} + \frac{1}{5}}

x^{\frac{1}{8} + \frac{1}{5}} = x^{\frac{13}{40}}

= 6 \cdot 8 x^{\frac{13}{40}}

数を乗じる:

6 \cdot 8 = 48

= 48 x^{\frac{13}{40}}