Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.2 - Multiplying Polynomials - Exercise Set - Page 360: 107

Answer

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Work Step by Step

The rule for a product raised to an exponent states that: When an product is raised to a power, raise each factor at that power and multiply the results: $(a\cdot b)^n=(a\cdot b)(a\cdot b)\cdot...\cdot (a\cdot b)$ $=a\cdot b\cdot a\cdot b\cdot...\cdot a\cdot b$ $=(a\cdot a\cdot...\cdot a)(b\cdot b\cdot...\cdot b)$ $=a^n\cdot b^n$ For example, $(xy)^{7}=x^7y^7$
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