Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.1 - Exponents - Practice: 14

Answer

$m^{6}n^{18}$

Work Step by Step

Based on the product rule for exponents, we know that $a^{m}\times a^{n}=a^{m+n}$ (where $m$ and $n$ are positive integers and $a$ is a real number). Therefore, $(m^{5}n^{10})(mn^{8})=m^{5+1}\times n^{10+8}=m^{6}\times n^{18}=m^{6}n^{18}$.
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