Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 39



Work Step by Step

$\displaystyle \frac{4^{9/4}\cdot 4^{-7/4}}{4^{-10/4}}=$ ...use: $a^{m}\cdot a^{n}=a^{m+n}$ and $\displaystyle \frac{a^{m}}{a^{n}}=a^{m-n}$... $=4^{9/4-7/4-(-10/4)}$ $=4^{(9-7+10)/4}$ $=4^{12/4}$ $=4^{3}=64$
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