Simplify the Radical Expression -64^(2/3)

$- 64^{\frac{2}{3}}$

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

$- {(4^{3})}^{\frac{2}{3}}$

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

$- 4^{3 (\frac{2}{3})}$

Cancel the common factor of $3$ .

Cancel the common factor.

$- 4^{3 (\frac{2}{3})}$

Rewrite the expression.

$- 4^{2}$

Raise $4$ to the power of $2$ .

$- 1 \cdot 16$

Multiply $- 1$ by $16$ .

$- 16$