簡約 (4x+5)^{1/3}(3(4x+5)^{2/3})

解

簡約

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

3 (4 x + 5)

解答ステップ

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

指数の規則を適用する:

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

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

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

分数を組み合わせる

\frac{1}{3} + \frac{2}{3} : 1

= 3 (4 x + 5)^{1}

規則を適用

a^{1} = a

(4 x + 5)^{1} = 4 x + 5

= 3 (4 x + 5)