Answer
$-12x^{2}y$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{48x^3y^2}{-4xy}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{-4}\cdot(-12)x^{3-1}y^{2-1}}{\cancel{-4}}
\\\\=
-12x^{2}y^{1}
\\\\=
-12x^{2}y
.\end{array}
