簡約 (3x^{1/2})(4x^{2/3})

解

簡約

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

12 x^{\frac{7}{6}}

解答ステップ

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

指数の規則を適用する:

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

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

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

x^{\frac{1}{2} + \frac{2}{3}} = x^{\frac{7}{6}}

= 3 \cdot 4 x^{\frac{7}{6}}

数を乗じる:

3 \cdot 4 = 12

= 12 x^{\frac{7}{6}}