College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 30

Answer

$300\sqrt[3]{3}$

Work Step by Step

Using the properties of radicals that we know, we simplify: $\displaystyle (\sqrt[3]{3}\sqrt{10})^4=\sqrt[3]{3^4}\sqrt{10^4}=\sqrt[3]{3^{3}3}\sqrt{(10^2)^2}=3*10^2\sqrt[3]{3}=300\sqrt[3]{3}$
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