Algebra 1: Common Core (15th Edition)

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

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 442: 9

Answer

$ \displaystyle \frac{1}{3} $

Work Step by Step

$ \displaystyle \frac{2^{7/3}}{2^{2}}=\quad$ .... Dividing powers with the same base $=2^{7/3-2}$ $=2^{1/3}$ Fill the blank (the exponent) with $ \displaystyle \frac{1}{3} $.
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