16^(3/4)=2^3=8
((4*x^2*y^3*z^2/(12*x^3*y))^-2=((1/3)*y^2*z^2/x)^-2=9*x^2*(y^-4)*(z^-4)
(3*x^(3/4)*y^(2/3))^12=3^12*x^9*y^8
(9*x^-2*y*z)^4=3^8*x^(-8)*x^4*y^4*z^4
(3^12*x^9*y^8)/(3^8*x^(-8)*y^4*z^4)=3^4*x^17*y^4*z(-4)
9*x^2*(y^-4)*(z^-4)*3^4*x^17*y^4*z(-4)=3^6*x^19*z^-8
8*3^6*x^19*z^-8=5832*x^19/z^8
Ответ: 5832*x^19/z^8