Question

simplify. (sqrt3{-8x^{24}y^{36}}) enter your answer in the box.

Explanation:

Step1: Break - down the components

We know that $\sqrt[3]{-8x^{24}y^{36}}=\sqrt[3]{-8}\cdot\sqrt[3]{x^{24}}\cdot\sqrt[3]{y^{36}}$.

Step2: Simplify each cube - root

$\sqrt[3]{-8}=- 2$ since $(-2)\times(-2)\times(-2)=-8$; $\sqrt[3]{x^{24}}=x^{8}$ because $\frac{24}{3}=8$; $\sqrt[3]{y^{36}}=y^{12}$ because $\frac{36}{3}=12$.

Step3: Combine the results

$-2x^{8}y^{12}$.

Answer:

$-2x^{8}y^{12}$