Answer
$300\sqrt[3]{3}$
Work Step by Step
Using the properties of radicals that we know, we simplify:
$\displaystyle (\sqrt[3]{3}\sqrt{10})^4=\sqrt[3]{3^4}\sqrt{10^4}=\sqrt[3]{3^{3}3}\sqrt{(10^2)^2}=3*10^2\sqrt[3]{3}=300\sqrt[3]{3}$
College Algebra (10th Edition)
by Sullivan, Michael
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 - Page 78: 30
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