## Elementary Algebra

$\dfrac{5}{4}$
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}