Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 11

Answer

$m^{14}$

Work Step by Step

We are given the expression $m\times m^{7}\times m^{6}$. We can use the product rule to simplify, which holds that $a^{m}\times a^{n}=a^{m+n}$. More generally, the product of any number of exponential expressions with a common base is the common base raised to a power equal to the sum of the exponents of the factors. Therefore, $m\times m^{7}\times m^{6}=m^{1+7+6}=m^{14}$
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