Answer
$-\dfrac{2xw}{3yz}$
Work Step by Step
First, cancel common factors to obtain:
$\require{cancel} \\=\dfrac{\cancel{3}x}{\cancel{4}y} \cdot \dfrac{-\cancel{8}2w}{\cancel{9z}3} \\=\dfrac{x}{y} \cdot \dfrac{-2w}{3z}$
Multiply the numerators together and the denominators together to obtain:
$=\dfrac{-2xw}{3yz}
\\=-\dfrac{2xw}{3yz}$