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 - Page 262: 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, $n\times n^{10}\times n^{12}=n^{1+10+12}=n^{23}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.