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

Simplify the expression.

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

$- 1 \cdot 81$

Multiply $- 1$ by $81$ .

$- 81$