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

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

Simplify the expression.

Multiply the exponents in ${(4^{\frac{1}{4}})}^{2}$ .

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

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Rewrite $4$ as $2^{2}$ .

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

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

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$2^{1}$

Evaluate the exponent.

$2$