Evaluate 216^(4/3)

$216^{\frac{4}{3}}$

Step 1

Simplify the expression.

Rewrite $216$ as $6^{3}$ .

${(6^{3})}^{\frac{4}{3}}$

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

$6^{3 (\frac{4}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$6^{3 (\frac{4}{3})}$

Rewrite the expression.

$6^{4}$

Step 3

Raise $6$ to the power of $4$ .

$1296$