Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - Chapter 5 Review Problem Set - Page 231: 58



Work Step by Step

Using $a^{-x}=\dfrac{1}{a^x}$, the given expression, $ 2^{-1}+3^{-2} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{1}{2^1}+\dfrac{1}{3^2} \\\\= \dfrac{1}{2}+\dfrac{1}{9} \\\\= \dfrac{9}{18}+\dfrac{2}{18} \\\\= \dfrac{11}{18} .\end{array}
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