Answer
$\frac{13}{36}$
Work Step by Step
We are given the expression $4^{-1}+3^{-2}$
$4^{-1}+3^{-2}=\frac{1}{4}+\frac{1}{3^{2}}=\frac{1}{4}+\frac{1}{9}=\frac{9}{36}+\frac{4}{36}=\frac{13}{36}$
In general, $a^{-n}=\frac{1}{a^{n}}$ (where a is a nonzero real number and n is a positive integer).