Question

find reciprocal of rational number (1/2) power 2 divide (2/3) power 3​

Answer 1

Given:

$\frac{(\frac{1}{2})^2 }{(\frac{1}{3} )^3}$

⇒ $\frac{1}{4}\times\frac{9}{8}=\frac{9}{32}$

So reciprocal of $\frac{9}{32}$ is $\frac{32}{9}.$