Answer :
[tex] \frac{ (\frac{ x^{-2} }{ y^{-3} })^2 }{ (\frac{y}{ x^{2} })^{-3} } = \frac{ (\frac{ x^{-4} }{ y^{-6} }) }{ (\frac{ y^{-3} }{ x^{-6} }) }= \frac{ x^{-4}* x^{-6} }{ y^{-3}* y^{-6} } = \frac{ x^{-10} }{ y^{-9} } [/tex]
(x-²/ y-³)² = (x-²/y-³)(x-²/y-³) = (y/ x²)(y/ x²) = (y²/ x^4) = y² · x^4 = 1
(y/ x²)-³ (y/x²)(y/x²) (x²/y³)(x²/y³) (x^4/ y^6) x^4 · y^6 y^4
(y/ x²)-³ (y/x²)(y/x²) (x²/y³)(x²/y³) (x^4/ y^6) x^4 · y^6 y^4
