Answer
$\frac{s^{6}}{5}$
Work Step by Step
We are given the expression $\frac{3s^{3}}{15s^{-3}}$.
To simplify, we can use the quotient rule, which holds that $\frac{a^{m}}{a^{n}}=a^{m-n}$ (where a is a nonzero real number, and m and n are integers).
Therefore, $\frac{3s^{3}}{15s^{-3}}=\frac{3}{15}\times s^{3-(-3)}=\frac{1}{5}\times s^{3+3}=\frac{s^{6}}{5}$.
