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 - Page 488: 4



Work Step by Step

It is true that the denominator of a rational exponent becomes the index of the radical when rewritten in radical form. This comes from the definition of rational exponents, which states that $x^\frac{m}{n}=\sqrt[n] {x^m}$. Notice how $n$ is both the denominator of the rational exponent and the index of the radical.
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