Find the reciprocal of the rational number $\bigg( \large\frac{1}{2}\bigg) ^{-2} \div \bigg( \large\frac{2}{3}\bigg)^{-3}$

Question

$\begin{array}{1 1} \large\frac{32}{27} \\ \large\frac{27}{32} \\ 32 \\ \large\frac{-27}{32} \end{array} $