Evaluate 27^(4/3)

$27^{\frac{4}{3}}$

Step 1

Simplify the expression.

Rewrite $27$ as $3^{3}$ .

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

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

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

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$3^{4}$

Step 3

Raise $3$ to the power of $4$ .

$81$