Answer
$\dfrac{3x^2}{2y^3}$
Work Step by Step
Cancelling the common factor in the numerator and the denominator, the given expression, $
\dfrac{18x^3y}{12xy^4}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{6xy}\cdot3x^2}{\cancel{6xy}\cdot2y^3}
\\\\=
\dfrac{3x^2}{2y^3}
.\end{array}
