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: 2

Answer

True

Work Step by Step

Using the definition of fractional exponents, we know that $x^\frac{1}{3}=\sqrt[3] x$. Written in words, this agebraic statement says that $\text{a number,}\;x,\;\text{raised to the 3rd power is equal to the cubed root of }\;x$. Therefore, with an exponent of $\frac{1}{3}$, we need to find the cubed root of the number.
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