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$\displaystyle x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right) ^{-4} $

$ \displaystyle = \left( \frac{3}{2} \right)^2 \times \left( \frac{3}{2} \right) ^4$

$ \displaystyle = \left( \frac{3}{2} \right)^{2 + 4} $

$\displaystyle = \left( \frac{3}{2} \right)^6 $

$\displaystyle x^{- 2} = \left[ \left( \frac{3}{2}\right) ^6\right]^{-2}$

$ \displaystyle = \left(\frac{3}{2}\right) ^{-12}$

$ \displaystyle = \left(\frac{2}{3}\right) ^{ 12}$