The value of ( 32243 )^ - 4/5 is = ?

Answer: Option D

$$\begin{array}{rl}& {\left(\frac{32}{243}\right)}^{-\frac{4}{5}}\\ & \text{ = }{\left\{{\left(\frac{2}{3}\right)}^5\right\}}^{-\frac{4}{5}}\\ & \text{ = }{\left(\frac{2}{3}\right)}^{5\times \frac{\left(-4\right)}{5}}\\ & \text{ = }{\left(\frac{2}{3}\right)}^{\left(-4\right)}\\ & \text{ = }{\left(\frac{3}{2}\right)}^4\\ & \text{ = }\frac{3^4}{2^4}\\ & \text{ = }\frac{81}{16}\end{array}$$