Evaluate ( cube root of x)^3

${(\sqrt[3]{x})}^{3}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{x}$ as $x^{\frac{1}{3}}$ .

${(x^{\frac{1}{3}})}^{3}$

Step 2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{1}{3} \cdot 3}$

Step 3

Combine $\frac{1}{3}$ and $3$ .

$x^{\frac{3}{3}}$

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

$x^{\frac{3}{3}}$

Rewrite the expression.

$x^{1}$

Step 5

Simplify.

$x$