Evaluate (256^4)^(1/4)

${(256^{4})}^{\frac{1}{4}}$

Step 1

Multiply the exponents in ${(256^{4})}^{\frac{1}{4}}$ .

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

$256^{4 (\frac{1}{4})}$

Cancel the common factor of $4$ .

Cancel the common factor.

$256^{4 (\frac{1}{4})}$

Rewrite the expression.

$256^{1}$

Step 2

Evaluate the exponent.

$256$