Simplify x^(1/6)*x^(1/3)

$x^{\frac{1}{6}} \cdot x^{\frac{1}{3}}$

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

$x^{\frac{1}{6} + \frac{1}{3}}$

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x^{\frac{1}{6} + \frac{1}{3} \cdot \frac{2}{2}}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{1}{3}$ and $\frac{2}{2}$ .

$x^{\frac{1}{6} + \frac{2}{3 \cdot 2}}$

Multiply $3$ by $2$ .

$x^{\frac{1}{6} + \frac{2}{6}}$

Combine the numerators over the common denominator.

$x^{\frac{1 + 2}{6}}$

Add $1$ and $2$ .

$x^{\frac{3}{6}}$

Cancel the common factor of $3$ and $6$ .

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Factor $3$ out of $3$ .

$x^{\frac{3 (1)}{6}}$

Cancel the common factors.

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Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify x^(1/6)*x^(1/3)

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