Answer
$\frac{1}{64}$
Work Step by Step
We want to simplify: $2^{-6}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$.
We use this to rewrite the expression as $\frac{1}{2^6}$.
Next, we must simplify the power in the denominator: $\frac{1}{2\times2\times2\times2\times2\times2}=\frac{1}{64}$