簡約 \sqrt[3]{x}*\sqrt[8]{x}

解

簡約

3 x \cdot 8 x

24 x^{11}

解答ステップ

3 x 8 x

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

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

= x^{\frac{1}{3}} x^{\frac{1}{8}}

指数の規則を適用する:

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

x^{\frac{1}{3}} x^{\frac{1}{8}} = x^{\frac{1}{3} + \frac{1}{8}}

= x^{\frac{1}{3} + \frac{1}{8}}

\frac{1}{3} + \frac{1}{8} = \frac{11}{24}

= x^{\frac{11}{24}}

x^{\frac{11}{24}} = 24 x^{11}

= 24 x^{11}