Simplify x^(1/6)*x^(1/6)

$x^{\frac{1}{6}} \cdot x^{\frac{1}{6}}$

Step 1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{\frac{1}{6} + \frac{1}{6}}$

Step 2

Combine the numerators over the common denominator.

$x^{\frac{1 + 1}{6}}$

Step 3

Add $1$ and $1$ .

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

Step 4

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2$ .

$x^{\frac{2 (1)}{6}}$

Cancel the common factors.

Factor $2$ out of $6$ .

$x^{\frac{2 \cdot 1}{2 \cdot 3}}$

Cancel the common factor.

$x^{\frac{2 \cdot 1}{2 \cdot 3}}$

Rewrite the expression.

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