College Algebra 7th Edition

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

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises: 29

Answer

$2y\sqrt[5]{y}$

Work Step by Step

The given radical can be written as: $=\sqrt[5]{2^5y^6} \\=\sqrt[5]{(2^5y^5)y}$ RECALL: (i) $\sqrt[n]{a^n} = |a|$ when $n$ is even (ii) $\sqrt[n]{a^n} = a$ when $n$ is odd The given radical has n=5, which is odd. Use rule (ii) above to obtain: $=2\cdot y\sqrt[5]{y} \\=2y\sqrt[5]{y}$
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