Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.6 Rational Exponents - R.6 Exercises: 3

Answer

The given statement is false. The correct statement is: $\dfrac{a^6}{a^4}=a^2$

Work Step by Step

RECALL: (1) $a^{-m} = \dfrac{1}{a^m}$ (2) $\dfrac{a^m}{a^n} = a^{m-n}$ Use the rule (2) above to obtain: $\dfrac{a^6}{a^4} = a^{6-4} = a^2$ Thus, the given statement is false. The correct statement is: $\dfrac{a^6}{a^4}=a^2$
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