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 - Exercise Set: 27

Answer

$x^{19}y^{6}$

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, $(x^{9}y)\times(x^{10}y^{5})=x^{9+10}\times y^{1+5}=x^{19}\times y^{6}=x^{19}y^{6}$.
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