Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.1 - Integer Exponents and Scientific Notation - 4.1 Exercises - Page 278: 116

Answer

$-2m^{5}$

Work Step by Step

According to the power rule for exponents, $(a^{m})^{n}=a^{mn}$ (where $m$ and $n$ are integers and $a$ is a real number). Therefore, $-2m^{-1}(m^{3})^{2}=-2m^{-1}m^{3\times2}=-2m^{-1}m^{6}$. According to the product rule for exponents, $a^{m}\times a^{n}=a^{m+n}$. Therefore, $-2m^{-1}m^{6}=-2m^{-1+6}=-2m^{5}$.
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