Question

(x^-2/y^-3)^2 / (y/x^2)^-3

Answer 1

(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

Answer 2

`( (( x^(-2) )/( y^(-3) ))^2 )/( ((y)/( x^(2) ))^(-3) ) = ( (( x^(-4) )/( y^(-6) )) )/( (( y^(-3) )/( x^(-6) )) )= ( x^(-4)* x^(-6) )/( y^(-3)* y^(-6) ) = ( x^(-10) )/( y^(-9) )`