Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 71

Answer

The answer is $\frac{-29}{4}$ or -7.25

Work Step by Step

We use the rules of exponents to obtain: = $2^{-1}$ - $\frac{1}{3^{-2}}$ + 5$\frac{1}{(2)^{2}}$ = $\frac{1}{2}$ - $3^{2}$ + 5($\frac{1}{4}$) = $\frac{1}{2}$ - 9 + $\frac{5}{4}$ = $\frac{2-36+5}{4}$ = $\frac{-29}{4}$ = -7$\frac{1}{4}$
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