Prealgebra (7th Edition)

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

Chapter 4 - Section 4.3 - Multiplying and Dividing Fractions - Vocabulary, Readiness & Video Check: 3


$\frac{2\times2\times2}{7}$ $\frac{2\times2\times2}{7\times7\times7}$

Work Step by Step

In $\frac{2^3}{7}$ the exponent applies only to the numerator. In $(\frac{2}{7})^3$ the parentheses mean the exponent applies to the entire fractiion. Thinking of fraction as division and using the order of operations, these two fraction could be written as $2^3\div7=(2\times2\times2)\div7=\frac{2\times2\times2}{7}$ and $(2\div7)^3=(2\times2\times2)\div(7\times7\times7)=\frac{2\times2\times2}{7\times7\times7}$
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