簡約 (3sqrt(x))(4\sqrt[5]{x})

解

簡約

(3 x) (4 5 x)

12 x^{\frac{7}{10}}

解答ステップ

(3 x) (4 5 x)

指数の規則を適用する:

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

x 5 x = x^{\frac{1}{2}} x^{\frac{1}{5}} = x^{\frac{1}{2} + \frac{1}{5}}

= 3 \cdot 4 x^{\frac{1}{2} + \frac{1}{5}}

x^{\frac{1}{2} + \frac{1}{5}} = x^{\frac{7}{10}}

= 3 \cdot 4 x^{\frac{7}{10}}

数を乗じる:

3 \cdot 4 = 12

= 12 x^{\frac{7}{10}}