化简 (\sqrt[5]{(x+1)^3})^2

解答

化简

(5 (x + 1)^{3})^{2}

(x + 1)^{\frac{6}{5}}

求解步骤

(5 (x + 1)^{3})^{2}

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

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

使用指数法则:

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

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

\frac{3}{5} \cdot 2 = \frac{6}{5}

= (x + 1)^{\frac{6}{5}}

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