Answer
$=\frac{1}{5}$
Work Step by Step
The given expression is
$=\frac{5^{-1}}{-9^0}$
Use $a^0=1$.
$=\frac{5^{-1}}{-1}$
Use $a^{-n}=\frac{1}{a^n}$.
$=-\frac{1}{(5)^{1}}$
Use $(5)^1=5$.
$=-\frac{1}{5}$.
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