Answer
$-27w^{8}$
Work Step by Step
We are given the expression $(-3w^{5})(9w^{3})$. Before applying the product rule for exponents, we can group like terms.
$(-3w^{5})(9w^{3})=(-3\times9)(w^{5}\times w^{3})$
According to the product rule for exponents, $a^{m}\times a^{n}=a^{m+n}$.
Therefore, $(-3\times9)(w^{5}\times w^{3})=(-27)(w^{5+3})=(-27)(w^{8})=-27w^{8}$.
