Question

plz answer this properly​

Answer 1

(Continuing from the question)

${(\frac{4}{9})}^{4} \times \frac{8}{27} = {(\frac{p}{q}) }^{11}$

$= \frac{256}{6561} \times \frac{8}{27} = {(\frac{p}{q})}^{11}$

$= \frac{2048}{177147} = {(\frac{p}{q})}^{11}$

$={(\frac{2}{3})}^{11} = {(\frac{p}{q})}^{11}$

$=\frac{2}{3} =\frac{p}{q}$

Now,

${(\frac{p}{q})}^{ - 2}= {(\frac{2}{3})}^{ - 2}$

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

$= \frac{9}{4}$

Hence, the final answer is 9/4.