Evaluate 64^(5/3)

$64^{\frac{5}{3}}$

Step 1

Simplify the expression.

Rewrite $64$ as $4^{3}$ .

${(4^{3})}^{\frac{5}{3}}$

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

$4^{3 (\frac{5}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$4^{3 (\frac{5}{3})}$

Rewrite the expression.

$4^{5}$

Step 3

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

$1024$