Evaluate -64^(1/3)

$- 64^{\frac{1}{3}}$

Step 1

Simplify the expression.

Rewrite $64$ as $4^{3}$ .

$- {(4^{3})}^{\frac{1}{3}}$

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

$- 4^{3 (\frac{1}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$- 4^{3 (\frac{1}{3})}$

Rewrite the expression.

$- 4^{1}$

Step 3

Simplify the expression.

Evaluate the exponent.

$- 1 \cdot 4$

Multiply $- 1$ by $4$ .

$- 4$