Answer
$\frac{1}{45}$
Work Step by Step
We start with the given expression: $5^{-1}3^{-2}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression: $\frac{1}{5^13^2}$
We expand the exponents on the denominator and multiply: $\frac{1}{5\times3\times3}=\frac{1}{45}$
