1. **State the problem:** Simplify the expression $$(3x^2y^5)(6x^3y^6)$$. 2. **Recall the rules:** When multiplying terms with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$. 3. **Multiply the coefficients:** $$3 \times 6 = 18$$. 4. **Multiply the variables:** - For $x$: $$x^2 \times x^3 = x^{2+3} = x^5$$ - For $y$: $$y^5 \times y^6 = y^{5+6} = y^{11}$$ 5. **Combine all parts:** $$18 x^5 y^{11}$$ 6. **Final answer:** $$\boxed{18 x^5 y^{11}}$$