Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - Chapter Review Exercises - Page 386: 1


(a) no match. (b) no match. (c) match (i) (c) match (iii)

Work Step by Step

(a) We have two different bases and can not put them together. Thus, there is no match. (b) Since $\frac{2^a}{3^{b}}=2^a3^{-b}$, then for (b) there is no match. (c) We can multiply the exponents to match (i). (d) Note that $b-a=-(a-b)$ Thus we have: $2^{a-b}3^{-(a-b)}$, which matches (iii).
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