Algebra 1: Common Core (15th Edition)

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

Entry-Level Assessment - Multiple Choice - Page xxxix: 17


A. $\frac{1}{64}$

Work Step by Step

The quotient of powers property states that $\frac{x^{a}}{x^{b}}=x^{a-b}$ Also, a negative exponent is the reciprocal of its positive exponent: $x^{-a}=\frac{1}{x^{a}}$ Therefore: $\frac{4^{3}}{4^{6}}=4^{3-6}=4^{-3}=\frac{1}{4^{3}} = \frac{1}{64}$
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