Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Skill Practice - Page 424: 4



Work Step by Step

In order to solve this problem, we must use the rules of rational exponents, which are listed on page 420. Doing this, we find that the expression simplifies to: $$ \sqrt[3]{2^4}\sqrt[3]{4} \\ 2^{\frac{4}{3}}\sqrt[3]{2^2} \\ 2^{\frac{4}{3}}\cdot \:2^{\frac{2}{3}} \\ 2^2 \\ 4$$
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