1. The problem is to simplify the expression $$-3x^2y^3(-1.1 - 2xy^2 + 0.5x - 2.3y^3)$$. 2. We use the distributive property: $$a(b + c + d + e) = ab + ac + ad + ae$$. 3. Multiply each term inside the parentheses by $$-3x^2y^3$$: $$-3x^2y^3 \times (-1.1) = 3.3x^2y^3$$ $$-3x^2y^3 \times (-2xy^2) = 6x^3y^5$$ $$-3x^2y^3 \times 0.5x = -1.5x^3y^3$$ $$-3x^2y^3 \times (-2.3y^3) = 6.9x^2y^6$$ 4. Combine all terms: $$3.3x^2y^3 + 6x^3y^5 - 1.5x^3y^3 + 6.9x^2y^6$$ 5. This is the simplified expression. No like terms can be combined further because they have different powers of $$x$$ and $$y$$. Final answer: $$3.3x^2y^3 + 6x^3y^5 - 1.5x^3y^3 + 6.9x^2y^6$$