Q. simplify ( pls tell the ans)

Dear Student.

$$\begin{gathered} We have:\hspace{0.17em}{\left(\frac{3x^{-2}}{2y^{-1}}\right)}^{-2} \\ Since, {\left(a^m\right)}^n=a^{m\times n} \\ we get, \hspace{0.17em}\left(\frac{3^{-2}\times x^{-2\times (-2)}}{2^{-2}\times y^{-1\times (-2)}}\right) \\ =\frac{3^{-2}}{2^{-2}}\times \frac{x^4}{y^2} \\ =\frac{4x^4}{9y^2} (\sin ce a^{-b}=\frac{1}{a^b}) \end{gathered}$$

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