(3x^3y^2z^-1)^-2*(5xy^-2z^3)^2
=3^-2*x^(-6)*y^-4*z^2*5^2*x^2*y^-4*z^6
=(25/9)*x^-4*y^-10*z^8
=25z^8/(9x^4y^10)