Evaluate 256^(5/4)

$256^{\frac{5}{4}}$

Step 1

Simplify the expression.

Rewrite $256$ as $4^{4}$ .

${(4^{4})}^{\frac{5}{4}}$

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

$4^{4 (\frac{5}{4})}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$4^{4 (\frac{5}{4})}$

Rewrite the expression.

$4^{5}$

Step 3

Raise $4$ to the power of $5$ .

$1024$