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1. Simplified from of ${[{(\sqrt[5]{x^{- \frac{3}{5}}})}^{- \frac{5}{3}}]}^{- 5} = ?$

A. x⁵

B. x^-5

C. x

D. $\frac{1}{x}$

Solution:

\begin{aligned} {[{(\sqrt[5]{x^{- \frac{3}{5}}})}^{- \frac{5}{3}}]}^{- 5} \\ = {[{(x^{- \frac{3}{25}})}^{- \frac{5}{3}}]}^{- 5} \\ = {[(x^{\frac{1}{5}})]}^{- 5} \\ = x^{- \frac{1}{5} \times 5} \\ = x^{- 1} \\ = \frac{1}{x} \end{aligned}

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