College Algebra (10th Edition)

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

Chapter 6 - Section 6.8 - Exponential Growth and Decay Models; Newton's Law: Logistic Growth and Decay Models - 6.8 Assess Your Understanding - Page 488: 33

Answer

$2\sqrt[3] 5$

Work Step by Step

$\frac{10}{25^{\frac{1}{3}}}=\frac{10}{(5^2)^{\frac{1}{3}}}=\frac{10}{5^{\frac{2}{3}}}=\frac{10\cdot5^{\frac{1}{3}}}{5^{\frac{2}{3}}\cdot5^{\frac{1}{3}}}=\frac{10\cdot\sqrt[3] 5}{5^{\frac{2}{3}}\cdot5^{\frac{1}{3}}}=\frac{10\cdot\sqrt[3] 5}{5}=2\sqrt[3] 5$
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