Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises: 89

Answer

$-\frac{5}{16}$

Work Step by Step

We are given the expression $xy+y^{4}$. We can plug in the given values to solve for the given expression. $xy+y^{4}=(-\frac{3}{4})(\frac{1}{2})+(\frac{1}{2})^{4}=\frac{-3\times1}{4\times2}+(\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2})=-\frac{3}{8}+\frac{1}{16}=-\frac{3\times2}{8\times2}+\frac{1}{16}=-\frac{6}{16}+\frac{1}{16}=\frac{-6+1}{16}=\frac{-5}{16}=-\frac{5}{16}$
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