Answer
$\dfrac{5}{4}$
Work Step by Step
Recall, anything raised to the zeroth power equals 1. Using this and the other laws of exponents, the given expression, $
3^0+2^{-2}
,$ simplifies to
\begin{array}{l}\require{cancel}
1+\dfrac{1}{2^2}
\\\\=
1+\dfrac{1}{4}
\\\\=
\dfrac{4}{4}+\dfrac{1}{4}
\\\\=
\dfrac{5}{4}
.\end{array}
