Question

solve : ${\left\{{\left(\frac{-3}{2}\right)}^2\right\}}^{-3}$

Answer 1

$\begin{array}{c}Wehave\\ {\left\{{\left(\frac{-3}{2}\right)}^2\right\}}^{-3}\\ ={\left\{\frac{-3}{2}\times \frac{-3}{2}\right\}}^{-3}\\ ={\left\{\frac{9}{4}\right\}}^{-3}\\ ={\left\{\frac{4}{9}\right\}}^3\\ =\frac{4}{9}\times \frac{4}{9}\times \frac{4}{9}\\ =\frac{64}{729}\\ Itistherequiredanswer.\end{array}$