# Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set - Page 262: 69

$\frac{13}{36}$

#### Work Step by Step

We are given the expression $4^{-1}+3^{-2}$ $4^{-1}+3^{-2}=\frac{1}{4}+\frac{1}{3^{2}}=\frac{1}{4}+\frac{1}{9}=\frac{9}{36}+\frac{4}{36}=\frac{13}{36}$ In general, $a^{-n}=\frac{1}{a^{n}}$ (where a is a nonzero real number and n is a positive integer).

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