Answer
$\frac{1}{36}$
Work Step by Step
We are given the expression $(-6)^{-2}$. In general, $a^{-n}=\frac{1}{a^{n}}$, where a is a nonzero real number and n is a positive integer.
Therefore, $(-6)^{-2}=\frac{1}{(-6)^{2}}=\frac{1}{(-6)\times(-6)}=\frac{1}{36}$