Answer
$\dfrac{1}{6}$
Work Step by Step
Before multiplying the fractions, cancel common factors first to obtain:
$\require{cancel}
=\dfrac{\cancel{5}}{\cancel{9}^3} \cdot \dfrac{\cancel{3}}{\cancel{10}^2}
\\=\dfrac{1(1)}{3(2)}
\\=\dfrac{1}{6}$