Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 3 - Adding and Subtracting Fractions - 3.5 Order Relation and the Order of Operations - 3.5 Exercises: 50

Answer

$\frac{16}{27}$

Work Step by Step

Exponents represent repeated multiplication. Eliminate common factors to simplify the multiplication. $9(\frac{1}{3})^{3}(\frac{4}{3})^{2}$ = $(\frac{/\!\!3\times/\!\!3}{1})(\frac{1}{/\!\!3})(\frac{1}{/\!\!3})(\frac{1}{3})(\frac{4}{3})(\frac{4}{3})$ = $(\frac{1}{1})(\frac{1}{1})(\frac{1}{1})(\frac{1}{3})(\frac{4}{3})(\frac{4}{3})$ = $\frac{16}{27}$
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