Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set: 106



Work Step by Step

RECALL: $x^{-m}=\dfrac{1}{x^m},m \gt 0$ Use the rule above to have: $\\=\dfrac{1}{y^1}+\dfrac{1}{(4y)^1} \\=\dfrac{1}{y}+\dfrac{1}{4y}$ Make the expressions similar using the LCD which is $4y$ to have: $\\=\dfrac{1(4)}{y(4)} + \dfrac{1}{4y} \\=\dfrac{4}{4y} + \dfrac{1}{4y} \\=\dfrac{5}{4y}$
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