Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.6 - Properties of Integral Exponents - Exercise Set - Page 81: 142

Answer

$$(4y)^{7} = 4^{7}y^{7}$$

Work Step by Step

Products to Powers rule: $(ab)^{n} = a^{n}\cdot b^{n}$ states that when a product is raised to a power, raise each factor to that power. For example, to simplify the expression $(4y)^{7}$, raise each factor ($4$ and $y$) by the exponent $7$. Thus, $$(4y)^{7} = 4^{7}y^{7}$$
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