Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises - Page 21: 7

Answer

a) These expressions are not equal b) There is a difference between these two expressions

Work Step by Step

a) We have ($\frac{2}{3}$)$^{-2}$= $\frac{1}{(\frac{2}{3})^{2}}$= $\frac{1}{(\frac{4}{9})}$ = $\frac{9}{4}$ b) (-5)$^{4}$= (-5) $\times$ (-5) $\times$ (-5) $\times$(-5) = 25 $\times$ 25 = 625 However, -5$^{4}$= -(5$^{4}$) = -625
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