Evaluate 1024^(4/5)

$1024^{\frac{4}{5}}$

Step 1

Simplify the expression.

Rewrite $1024$ as $4^{5}$ .

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

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

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$4^{4}$

Step 3

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

$256$