Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises: 86

Answer

$(\frac{2m}{13m^{2}}$$)^{2}$

Work Step by Step

Given : $\frac{4m^{2}}{169m^{4}}$ Now, $4=2^{2}$ and $169=13^{2}$ and $m^{4}=$ $(m^{2})^{2}$ Thus, the given expression can be written as : $\frac{2^{2}m^{2}}{13^{2}m^{4}}=$ $\frac{(2m)^{2}}{(13m^{2})^{2}}$ (since $a^{m}b^{m}=$ $(ab)^{m}$) This becomes : $\frac{(2m)^{2}}{(13m^{2})^{2}}=$ $(\frac{2m}{13m^{2}}$$)^{2}$
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