#### Answer

$\dfrac{15x^{3}y^{2}}{z}\cdot\dfrac{z}{5xy^{3}}=\dfrac{3x^{2}}{y}$

#### Work Step by Step

$\dfrac{15x^{3}y^{2}}{z}\cdot\dfrac{z}{5xy^{3}}$
Evaluate the product and simplify by removing the factors that appear both in the numerator and the denominator of the resulting expression:
$\dfrac{15x^{3}y^{2}}{z}\cdot\dfrac{z}{5xy^{3}}=\dfrac{(15x^{3}y^{2})(z)}{(z)(5xy^{3})}=\dfrac{15x^{3}y^{2}}{5xy^{3}}=\dfrac{3x^{2}}{y}$