Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Review - Exercises - Page 134: 12



Work Step by Step

$Evaluate$ $the$ $expression:$ $$2^{-3}-3^{-2}$$ $$2^{-3}-3^{-2} = \frac{1}{2^3}-\frac{1}{3^2}$$ $$\frac{1}{2\times2\times2}-\frac{1}{3\times3}$$ $$\frac{1}{8}-\frac{1}{9}$$ Find the least common denominator [72] $$\frac{1\times9}{8\times9}-\frac{1\times8}{9\times8}$$ $$\frac{9}{72}-\frac{8}{72} = \frac{1}{72}$$
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