Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Problem Set 11.3: 10

Answer

6

Work Step by Step

Recall, when a number is raised to the second power, the square root cancels out the exponent, and when a number is raised to the third power, the cube root cancels out the exponent. Thus, we obtain: $ \sqrt{144}/\sqrt[3] {8}=\sqrt{12^{2}}/ \sqrt[3] {2^{3}}=12/2=6$
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