Evaluate 512^(2/3)

$512^{\frac{2}{3}}$

Step 1

Simplify the expression.

Rewrite $512$ as $8^{3}$ .

${(8^{3})}^{\frac{2}{3}}$

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

$8^{3 (\frac{2}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$8^{3 (\frac{2}{3})}$

Rewrite the expression.

$8^{2}$

Step 3

Raise $8$ to the power of $2$ .

$64$