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: 12

Answer

$n^{23}$

Work Step by Step

We are given the expression $n\times n^{10}\times n^{12}$. 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, $n\times n^{10}\times n^{12}=n^{1+10+12}=n^{23}$
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