Question 575831
-(x^3 y^-2)(xy^-2)^-3


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


(-x^3/y^2)(x^-3/y^-6)


(-x^3/y^2)(y^6/x^3)


(-x^3/x^3)*(y^6/y^2)


-y^4


So -(x^3 y^-2)(xy^-2)^-3 simplifies to  -y^4



In other words,  -(x^3 y^-2)(xy^-2)^-3 = -y^4 for all nonzero values of x and y.