Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.6 - Complex Fractions and Review of Order of Operations - Exercise Set: 39

Answer

$3\frac{1}{2}$

Work Step by Step

$(\frac{3}{2})^{3}+(\frac{1}{2})^{3}$ $=\frac{3^{3}}{2^{3}}+\frac{1^{3}}{2^{3}}$ $=\frac{3\times3\times3}{2\times2\times2}+\frac{1\times1\times1}{2\times2\times2}$ $=\frac{9\times3}{4\times2}+\frac{1\times1}{4\times2}$ $=\frac{27}{8}+\frac{1}{8}$ $=\frac{28}{8}$ $=3\frac{4}{8}$ $=3\frac{1}{2}$
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