Precalculus (6th Edition)

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

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises: 29

Answer

$\color{blue}{-3(5^{1/2})(p^{3/2})}$

Work Step by Step

RECALL: (1) $a^{m/n}=\sqrt[n]{a^m} = (\sqrt[n]{a})^m$ (2) $(ab)^m=a^mb^m$ Use rule (1) above to obtain: $-3\sqrt{5p^3} \\=-3(5p^3)^{1/2}$ Use rule (2) above to obtain: $= \color{blue}{-3(5^{1/2})(p^{3/2})}$
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