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 - 1-6 Multiplying and Dividing Real Numbers - Practice and Problem-Solving Exercises - Page 42: 18



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: $(-2/9)^{2}$= ($2^{2})$/($9^{2}$)=4/81 Note, 4/81 is positive because when something is raised to the second power, it is the same as multiplying that thing by itself. A negative times a negative is a positive, so -2/9 squared, therefore, must be positive.
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