The rational expression is given as,
[tex]\frac{15x}{2y^3}\cdot\frac{12y^2}{5x}[/tex]
Performing the division and multiplication in the given rational expression,
[tex]\frac{15x}{2y^3}\cdot\frac{12y^2}{5x}=\frac{3\times6\times y^3}{y^2}[/tex][tex]\frac{3\times6\times y^3}{y^2}=\frac{18}{y}[/tex]
The rational expression after using the indicated operation we get,
[tex]\frac{18}{y}\text{.}[/tex]
