Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.1 - Integer Exponents and Scientific Notation - 4.1 Exercises: 7

Answer

$4^{7}$

Work Step by Step

According to the product rule for exponents, $a^{m}\times a^{n}=a^{m+n}$. Therefore, our friend’s answer is incorrect because it multiplies the bases. According to the product rule for exponents, the base $a$ stays the same and the exponents $m$ and $n$ are added together. Therefore, $4^{5}\times 4^{2}=4^{5+2}=4^{7}$.
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