Answer
$\frac{40}{3a^{5}}$
Work Step by Step
To find the product you must multiply the numerators and multiply the denominators
$\frac{5}{3a^{2}}\times\frac{8}{a^{3}}$
$5\times8=40$ (multiplying numerators)
$3a^{2}\times a^{3}=3a^{5}$ (multiplying denominators)
so the answer is $\frac{40}{3a^{5}}$