College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.2: 20

Answer

$\frac{1}{4}$

Work Step by Step

When an exponential expression has a negative exponent, change the position of the base (from the numerator to the denominator, or vise-versa) and make the exponent positive. $$2^{-3}\times2$$ $$=\frac{1}{2^{3}}\times2$$ $$=\frac{1}{8}\times\frac{2}{1}$$ $$=\frac{1}{4}$$
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