DISCUSS MATHEMATICAL THINKING Let x be a nonnegative real number. Determine whether the statement is always, sometimes, or ne true. x^1/3=sqrt [3](x) Always Sometimes Never Justify your answer.

## Step 1: Definition of Fractional Exponents<br />### The expression $x^{\frac{1}{n}}$ is defined as the $n$th root of $x$, denoted by $\sqrt[n]{x}$, when $n$ is a positive integer. This holds true for non-negative real numbers $x$.<br /><br />## Step 2: Applying the Definition to the Given Problem<br />### In our case, we have $x^{\frac{1}{3}}$, which, according to the definition, is equivalent to $\sqrt[3]{x}$.<br /><br />## Step 3: Considering the Domain<br />### The statement holds true for non-negative real numbers. For negative real numbers, the cube root is defined, so the statement also holds true for negative real numbers.