Answer
$243/16*x^3*y^{11}$
Work Step by Step
$(12x^2*y^{-2})^5*(4xy^{-3})^{-7}$
$(12x^2)^5*(y^{-2})^5*4^{-7}*x^{-7}*(y^{-3})^{-7}$
$12^5*x^{10}*y^{-10}*4^{-7}*x^{-7}*y^{21}$
$3^5*4^5*4^{-7}*x^{10-7}*y^{-10+21}$
$3^5*4^{5-7}*x^3*y^{11}$
$243*4^{-2}*x^3*y^{11}$
$243/16*x^3*y^{11}$