簡約 \sqrt[3]{x}*sqrt(x)

解

簡約

3 x \cdot x

6 x^{5}

解答ステップ

3 x x

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

x = x^{\frac{1}{2}}

= x^{\frac{1}{3}} x^{\frac{1}{2}}

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}{2}} = x^{\frac{1}{3} + \frac{1}{2}}

= x^{\frac{1}{3} + \frac{1}{2}}

\frac{1}{3} + \frac{1}{2} = \frac{5}{6}

= x^{\frac{5}{6}}

x^{\frac{5}{6}} = 6 x^{5}

= 6 x^{5}