Answer
$144x^{10}y^{6}$
Work Step by Step
Using the laws of exponents, the given expression, $
(3xy)^2(2x^2y)^4
,$ simplifies to
\begin{array}{l}\require{cancel}
\left( 3^{1(2)}x^{1(2)}y^{1(2)} \right)\left( 2^{1(4)}x^{2(4)}y^{1(4)}\right)
\\\\=
\left( 3^{2}x^{2}y^{2} \right)\left( 2^{4}x^{8}y^{4}\right)
\\\\=
\left( 9x^{2}y^{2} \right)\left( 16x^{8}y^{4}\right)
\\\\=
(9)(16)x^{2+8}y^{2+4}
\\\\=
144x^{10}y^{6}
.\end{array}
