化简 (\sqrt[3]{3x+5})^2

解答

化简

(3 3 x + 5)^{2}

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

求解步骤

(3 3 x + 5)^{2}

使用根式运算法则:

n a = a^{\frac{1}{n}}

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

使用指数法则:

(a^{b})^{c} = a^{b c}

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

\frac{1}{3} \cdot 2 = \frac{2}{3}

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

s im pl i f y 3315

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