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: 3

Answer

$\frac{4^{3}}{a^{3}}$

Work Step by Step

3. We are given that $(\frac{4}{a})^{3}=\frac{4^{3}}{a}$ (where $a\ne0$). However, according to the table on page 270, we know that $(\frac{a}{b})^{m}=\frac{a^{m}}{b^{m}}$ (where $b\ne0$). Therefore, $(\frac{4}{a})^{3}=\frac{4^{3}}{a^{3}}$ (where $a\ne0$).
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