Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.6 - Properties of Integral Exponents - Exercise Set: 154

Answer

False; The correct statement is: $\dfrac{2^8}{2^{-3}} = 2^{11}$

Work Step by Step

RECALL: $\dfrac{a^{m}}{a^n} = a^{m-n}, a\ne0$ Use the rule above to obtain: $\dfrac{2^8}{2^{-3}} = 2^{8-(-3)}=2^{8+3}=2^{11}$ Thus, the given statement is false. The correct statement is: $\dfrac{2^8}{2^{-3}} = 2^{11}$
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