簡約 (5x^{2/3})(4x^{1/4})

解

簡約

(5 x^{\frac{2}{3}}) (4 x^{\frac{1}{4}})

20 x^{\frac{11}{12}}

解答ステップ

(5 x^{\frac{2}{3}}) (4 x^{\frac{1}{4}})

指数の規則を適用する:

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

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

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

x^{\frac{2}{3} + \frac{1}{4}} = x^{\frac{11}{12}}

= 5 \cdot 4 x^{\frac{11}{12}}

数を乗じる:

5 \cdot 4 = 20

= 20 x^{\frac{11}{12}}