Answer
$\frac{1}{125}$
Work Step by Step
We start with the given expression: $s^{-3}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression:
$\frac{1}{s^3}$
Next, we plug in the value for $s$: $\frac{1}{(5)^3}$
We expand the exponent and simplify: $\frac{1}{(5)(5)(5)}=\frac{1}{125}$