Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Connecting: The Concepts - Exercises: 2

Answer

$\dfrac{1}{x^{14}}$

Work Step by Step

Use the rule $a^m\cdot a^n=a^{m+n}$ to obtain: $x^{-4}\cdot x^{-10} = x^{-4+(-10)} = x^{-14}$ Use the rule $a^{-m} = \dfrac{1}{a^m}, m \gt 0$ to obtain: $x^{-14}=\dfrac{1}{x^{14}}$
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