Evaluate 8^(5/3)

$8^{\frac{5}{3}}$

Step 1

Simplify the expression.

Rewrite $8$ as $2^{3}$ .

${(2^{3})}^{\frac{5}{3}}$

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

$2^{3 (\frac{5}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$2^{3 (\frac{5}{3})}$

Rewrite the expression.

$2^{5}$

Step 3

Raise $2$ to the power of $5$ .

$32$