Simplify (x^(1/2))^(2/7)

${(x^{\frac{1}{2}})}^{\frac{2}{7}}$

Step 1

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

$x^{\frac{1}{2} \cdot \frac{2}{7}}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$x^{\frac{1}{2} \cdot \frac{2}{7}}$

Rewrite the expression.

$x^{\frac{1}{7}}$