Answer
$\frac{1}{45}$
Work Step by Step
You are given $5^{-1}$($3^{-2}$).Simplify this expression:
$\frac{1}{5}$$\times$$\frac{1}{3^2}$ -use the expression rule $a^{-b}$=$\frac{1}{a^b}$-
$\frac{1}{5}$ $\times$$\frac{1}{9}$ -simplify the exponents and multiply-
=$\frac{1}{45}$