Answer
$\frac{13}{9}$
Work Step by Step
Any whole number raised to the power of zero is 1 while any number raised to a negative power is turned into that number's reciprocal with a positive exponent of the same value. Using these same rules, we obtain:
$3^{0}+3^{-1}+3^{-2}$
=$1+\frac{1}{3}+\frac{1}{3^{2}}$
=$1+\frac{1}{3}+\frac{1}{9}$
=$\frac{1(9)+1(3)+1}{9}$
=$\frac{9+3+1}{9}$
=$\frac{13}{9}$
