Elementary Algebra

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

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set - Page 432: 6



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: $3^{0}+3^{-1}+3^{-2}$ =$1+\frac{1}{3}+\frac{1}{3^{2}}$ =$1+\frac{1}{3}+\frac{1}{9}$ =$\frac{1(9)+1(3)+1}{9}$ =$\frac{9+3+1}{9}$ =$\frac{13}{9}$
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