#### Answer

$(10)^{-2}=10^{-2}$

#### Work Step by Step

For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $log_{10}10^{-2}=-2$ means the same as $(10)^{-2}=10^{-2}$.