Question

plzzz answer this question please​

Answer 1

${\sf{\color{purple}{Answer:-}}}$

Let the number be $\sf \:x$

$\sf \: {( \frac{ - 2}{3} ) }^{ - 3} \div x = {(\frac{4}{9} ) }^{ - 2} \\ \\\sf \: {( \frac{ - 3}{2} ) }^{3} \times \frac{1}{x} = ( {\frac{9}{4} ) }^{2} \\\\ \sf \:\frac{ - 27}{8} \times \frac{1}{x} = \frac{81}{16} \\\\ \sf \:\frac{1}{x} = \frac{81}{16} \times \frac{8}{ - 27} \\ \\ \sf \: \frac{1}{x} = \frac{3}{ - 2} \\\\ {\therefore}~~ \red{\sf ~ \frac{-2}{3}}$

So, $\sf \: {( \frac{ - 2}{3} ) }^{ - 3}$ should be divided by $\red{\sf ~ \frac{-2}{3}}$ to get $\sf \: {(\frac{4}{9} ) }^{ - 2}$.