Answer
False.
Work Step by Step
We start with the given expression: $-16^{-3}$
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: $-\frac{1}{16^3}$
We simplify the exponent in the denominator: $-\frac{1}{4096}$.
Since $-\frac{1}{4096}\ne\frac{1}{64}$, these expressions are not equivalent.
