## Elementary Algebra

Published by Cengage Learning

# Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Concept Quiz 11.3 - Page 488: 3

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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