Answer
$-36x^{8}y^{5}$
Work Step by Step
Using the laws of exponents, the given expression, $
(-x^2y)^3(6xy)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
(-1)^3x^{2(3)}y^{1(3)}\cdot6^{1(2)}x^{1(2)}y^{1(2)}
\\\\=
(-1)x^{6}y^{3}\cdot6^{2}x^{2}y^{2}
\\\\=
(-1)x^{6}y^{3}\cdot36x^{2}y^{2}
\\\\=
(-1)(36)x^{6+2}y^{3+2}
\\\\=
-36x^{8}y^{5}
.\end{array}
