Question Given xgt 0 and ygt 0 , select the expression that is equivalent to sqrt [3](-8x^5y^4) Answer Attemptiout of 3 2ix^2y -2x^(5)/(3)y^(4)/(3) -2x^2y 2ix^(5)/(3)y^(4)/(3)

To simplify the expression $$\sqrt [3]{-8x^{5}y^{4}}$$ , we can rewrite it as $$\sqrt [3]{-8} \cdot \sqrt [3]{x^{5}} \cdot \sqrt [3]{y^{4}}$$ .

Since $$x > 0$$ and $$y > 0$$ , we can simplify the expression further:

$$\sqrt [3]{-8} \cdot \sqrt [3]{x^{5}} \cdot \sqrt [3]{y^{4}} = -2 \cdot x^{\frac{5}{3}} \cdot y^{\frac{4}{3}}$$

Therefore, the expression equivalent to $$\sqrt [3]{-8x^{5}y^{4}}$$ is $$-2x^{\frac{5}{3}}y^{\frac{4}{3}}$$ .

So, the correct answer is $$-2x^{\frac{5}{3}}y^{\frac{4}{3}}$$ .