簡約 (9x)^{1/2}*(4x^{1/4})

解

簡約

(9 x)^{\frac{1}{2}} \cdot (4 x^{\frac{1}{4}})

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

解答ステップ

(9 x)^{\frac{1}{2}} (4 x^{\frac{1}{4}})

簡素化

(9 x)^{\frac{1}{2}} : 3 x^{\frac{1}{2}}

= 3 x^{\frac{1}{2}} \cdot 4 x^{\frac{1}{4}}

数を乗じる:

3 \cdot 4 = 12

= 12 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}}

= 12 x^{\frac{1}{2} + \frac{1}{4}}

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

= 12 x^{\frac{3}{4}}