Question

The expression for $8^{-2}$ as a power with the base $2$ is _______.

Answer 1

$8^{-2}$
In $8^{-2},8$ is the base and $-2$ is the power
$\Rightarrow 8^{-2}=\frac{1}{8^2}=\frac{1}{64}$
$\Rightarrow 2^6=2\times 2\times 2\times 2\times 2\times 2=64$
$\Rightarrow \frac{1}{64}=\frac{1}{2^6}=2^{-6}$