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: 59

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}
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