1. The problem is to simplify the expression $$\sqrt[3]{-8 \cdot 3}$$. 2. We use the property of cube roots that $$\sqrt[3]{a \cdot b} = \sqrt[3]{a} \cdot \sqrt[3]{b}$$. 3. Applying this property, we get: $$\sqrt[3]{-8 \cdot 3} = \sqrt[3]{-8} \cdot \sqrt[3]{3}$$. 4. We know that $$\sqrt[3]{-8} = -2$$ because $$(-2)^3 = -8$$. 5. Therefore, the expression simplifies to: $$-2 \cdot \sqrt[3]{3} = -2\sqrt[3]{3}$$. 6. So, the simplified form is $$\mathbf{-2\sqrt[3]{3}}$$.