## Algebra 2 Common Core

Published by Prentice Hall

# Chapter 6 - Radical Functions and Rational Exponents - 6-1 Roots and Radical Expressions - Practice and Problem-Solving Exercises - Page 365: 48

sometimes true

#### Work Step by Step

The given statement is true only when $x\ge 0$. Example: $\sqrt[3]{2^3} = |2|=2$ $\sqrt[3]{0^3} = |0|=0.$ However, the statement is false when $x \lt 0$. Example: $\sqrt[3]{(-2)^3}=-2$, which is not equal to $|-2|=2$.

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