Simplified from of [ ( 5 x^ - 3/5 )^ - 5/3 ]^5 is = ?

Answer: Option B

$$\begin{array}{rl}& {\left[{\left(\text{root}5\text{of}{x}^{-\frac{3}{5}}\right)}^{-\frac{5}{3}}\right]}^5\\ & ={\left[{\left\{{\left(x^{-\frac{3}{5}}\right)}^{\frac{1}{5}}\right\}}^{-\frac{5}{3}}\right]}^5\\ & ={\left[{\left(x^{{}^{\left\{\left(-\frac{3}{5}\right)\times \frac{1}{5}\right\}}}\right)}^{-\frac{5}{3}}\right]}^5\\ & ={\left[{\left(x^{-\frac{3}{25}}\right)}^{-\frac{5}{3}}\right]}^5\\ & ={\left[x^{\left\{\left(-\frac{3}{25}\right)\times \left(-\frac{5}{3}\right)\right\}}\right]}^5\\ & ={\left(x^{\frac{1}{5}}\right)}^5\\ & =x^{\left(\frac{1}{5}\times 5\right)}\\ & =x\end{array}$$