Evaluate 729^(2/3)

$729^{\frac{2}{3}}$

Step 1

Simplify the expression.

Rewrite $729$ as $9^{3}$ .

${(9^{3})}^{\frac{2}{3}}$

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

$9^{3 (\frac{2}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$9^{3 (\frac{2}{3})}$

Rewrite the expression.

$9^{2}$

Step 3

Raise $9$ to the power of $2$ .

$81$