Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.2 - Negative Exponents and Scientific Notation - Exercise Set - Page 353: 29

Answer

$m^{11}$

Work Step by Step

$\frac{(m^{5})^{4}m}{m^{10}}=\frac{m^{5\times4}\times m}{m^{10}}=\frac{m^{20}\times m}{m^{10}}=\frac{m^{20+1}}{m^{10}}=\frac{m^{21}}{m^{10}}=m^{21-10}=m^{11}$
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