Prealgebra (7th Edition)

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

Chapter 9 - Cumulative Review - Page 694: 4

Answer

a) $-$$\frac{1}{27}$ b) $\frac{9}{49}$

Work Step by Step

Use the exponent power of a fraction rule to solve this problem: ($\frac{a}{b}$)$^{x}$ $=$ $\frac{a^{x}}{b^x}$ For problem a, raise both the numerator and denominator to the 3rd power: $-$ $\frac{(1^3)}{(3^3)}$ $=$ $-$ $\frac{1}{27}$ For problem b, raise both the numerator and denominator to the 2nd power: $\frac{(3^2)}{(7^2)}$ $=$ $\frac{9}{49}$
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