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 - Vocabulary and Readiness Check: 3

Answer

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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, to simplify $x^{2}\times x^{7}$, keep the base and add the exponents. $x^{2}\times x^{7}=x^{2+7}=x^{9}$
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