Algebra Examples

$x^{\frac{4}{6}}$

Step 1

Reduce the expression $\frac{4}{6}$ by cancelling the common factors.

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Step 1.1

Factor $2$ out of $4$ .

$x^{\frac{2 (2)}{6}}$

Step 1.2

Factor $2$ out of $6$ .

$x^{\frac{2 \cdot 2}{2 \cdot 3}}$

Step 1.3

Cancel the common factor.

$x^{\frac{2 \cdot 2}{2 \cdot 3}}$

Step 1.4

Rewrite the expression.

$x^{\frac{2}{3}}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt[3]{x^{2}}$