Elementary Algebra

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

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Concept Quiz 11.3: 3

Answer

False

Work Step by Step

This statement has it backwards. Fractional exponents can be rewritten in radical form as follows: $x^\frac{m}{n}=\sqrt[n] {x^m}$. This means that $16^\frac{2}{3}=\sqrt[3] {16^2}$. Written in words, this is the same as saying "squaring $16$ and then taking the cube root of the result." Thus, the given statement is false.
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