簡約 sqrt(x)*\sqrt[4]{x}

解

簡約

x \cdot 4 x

4 x^{3}

解答ステップ

x 4 x

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

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

= x^{\frac{1}{2}} 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}{2}} x^{\frac{1}{4}} = x^{\frac{1}{2} + \frac{1}{4}}

= x^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

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

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

= 4 x^{3}