簡約 x^{1/3}× x^{1/4}

解

簡約

x^{\frac{1}{3}} \cdot x^{\frac{1}{4}}

x^{\frac{7}{12}}

解答ステップ

x^{\frac{1}{3}} x^{\frac{1}{4}}

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}{4}} = x^{\frac{1}{3} + \frac{1}{4}}

= x^{\frac{1}{3} + \frac{1}{4}}

\frac{1}{3} + \frac{1}{4} = \frac{7}{12}

= x^{\frac{7}{12}}