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

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

Step 1

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

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

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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