Simplify (-4x^3)^(2/3)

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

Apply the product rule to $- 4 x^{3}$ .

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

Multiply the exponents in ${(x^{3})}^{\frac{2}{3}}$ .

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

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Reorder factors in ${(- 4)}^{\frac{2}{3}} x^{2}$ .

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