Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-2 Order of Operations and Evaluating Expressions - Practice and Problem-Solving Exercises - Page 13: 14



Work Step by Step

When a fraction is raised to a power, we distribute that power to both the numerator (the top of the fraction) and the denominator (the bottom of the fraction). Thus, we obtain: $(1/2)^{4}$= ($1^{4})$/($2^{4}$) $2^{4}$ means two multiplied by itself four times, and $1^{4}$ means one multiplied by itself four times, so we find: ($1^{4})$/($2^{4}$)=1/16
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