Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set - Page 45: 66



Work Step by Step

RECALL: (i) $\sqrt[n]{a^n}=a$ when $n$ is odd. (ii) $\sqrt[n]{a^n}=|a|$ when $n$ is even. Write the radicand in exponential form (as a sixth power) to obtain $\sqrt[6]{\left(\dfrac{1}{2}\right)^6}.$ Use rule (ii) above to obtain $\sqrt[6]{\left(\dfrac{1}{2}\right)^6} = \bigg|\dfrac{1}{2}\bigg|=\dfrac{1}{2}.$
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