Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.1 Rules for Exponents - 3.1 Exercises: 61

Answer

a) Power of a Product Rule b) Product Rule c) Negative Power Rule

Work Step by Step

a) The student used the Power of a Product Rule of the Laws of Exponents, which states that $\left( x^my^n \right)^p=x^{mp}y^{np}.$ b) The student used the Product Rule of the Laws of Exponents, which states that $x^m\cdot x^n=x^{m+n}.$ c) The student used the Negative Power Rule of the Laws of Exponents, which states that $x^{-m}=\dfrac{1}{x^m}$ or $\dfrac{1}{x^{-m}}=x^m.$
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