Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - Chapter 2 Test: 7

Answer

$= \frac{1}{256}$

Work Step by Step

1) We need all of the fractions to have a common denominator of $12$, so we multiply the first fraction by $4$, the second fraction by $3$ and the third fraction by $2$. 2) Remember PEDMAS. Thus, do everything in grouping symbols first and then the exponent. $= (\frac{1}{3} - \frac{1}{4} + \frac{1}{6})^{4}$ $= (\frac{1(4)}{12} - \frac{1(3)}{12} + \frac{1(2)}{12})^{4}$ $= (\frac{4}{12} - \frac{3}{12} + \frac{2}{12})^{4}$ $= (\frac{1}{12} + \frac{2}{12})^{4}$ $= (\frac{3}{12})^{4}$ $= (\frac{1}{4})^{4}$ $= \frac{1}{256}$
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