Simplify (x^(1/4))^2

${(x^{\frac{1}{4}})}^{2}$

Step 1

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

$x^{\frac{1}{4} \cdot 2}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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