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: 15

Answer

$-4x^{11}y^{12}$

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, $(-x^{9}y)(4x^{2}y^{11})=-1\times4\times x^{9+2}\times y^{1+11}=-4\times x^{11}\times y^{12}=-4x^{11}y^{12}$.
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