Answer
$\dfrac{4}{45}$
Work Step by Step
Before multiplying the fractions, cancel common factors first to obtain:
$\require{cancel}
=\dfrac{\cancel{6}^2}{\cancel{25}^5} \cdot \dfrac{\cancel{10}^2}{\cancel{27}^9}
\\=\dfrac{2(2)}{5(9)}
\\=\dfrac{4}{45}$