1. **State the problem:** Simplify the expression $$n^2 \cdot n^4 \cdot n^5$$. 2. **Recall the rule for multiplying powers with the same base:** When multiplying powers with the same base, add the exponents. 3. **Apply the rule:** $$n^2 \cdot n^4 \cdot n^5 = n^{2+4+5}$$ 4. **Calculate the sum of the exponents:** $$2 + 4 + 5 = 11$$ 5. **Write the simplified expression:** $$n^{11}$$ **Final answer:** $$n^{11}$$