College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.3 - Integer Exponents and Scientific Notation - P.3 Exercises: 7

Answer

a. $\frac{1}{2}$ b. $\frac{1}{8}$ c. $2$ d. $8$

Work Step by Step

a. $2^{-1} = \frac{1}{2^{1}} = \frac{1}{2}$ b. $2^{-3} = \frac{1}{2^{3}} = \frac{1}{2\times2\times2} = \frac{1}{8}$ c. $(\frac{1}{2})^{-1} = \frac{1}{(\frac{1}{2})^{1}} =\frac{2}{1} = 2$ d. $\frac{1}{2^{-3}} = \frac{2^{3}}{1} = 2\times2\times2 = 8$
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