Question

Please solve this answer !!

Answer 1

${ \mathbf{ \huge{\frac{p}{q} = {( \frac{3}{2} )}^{2} \times {( \frac{2}{3} )}^{ - 4}}}} \\ \\ { \mathbf{ \huge{ \: \: \: \: = {( \frac{3}{2} )}^{2} \times {( \frac{3}{2} )}^{4} }}} \\ \\ { \mathbf{ \huge{ \: \: \: \: = {( \frac{3}{2} )}^{2 + 4} = {( \frac{3}{2} )}^{6} = \frac{729}{64} }}}$

Now,

${ \mathbf{ \huge{ {( \frac{p}{q} )}^{ - 2} = {( \frac{729}{64} )}^{ - 2} }}} \\ \\ \\ { \mathbf{ \huge{ = > {( \frac{64}{729} )}^{2} }}} \\ \\ \\{ \mathbf{ \huge{ \boxed{ \red{= > \frac{4096}{531441} }}}} }$