1. **State the problem:** Evaluate the expression $$(2 \cdot 3)^2 - 5^2$$ without rounding. 2. **Recall the order of operations:** First, perform multiplication inside the parentheses, then apply exponents, and finally subtraction. 3. **Calculate inside the parentheses:** $$2 \cdot 3 = 6$$ 4. **Apply the exponents:** $$(6)^2 = 36$$ $$5^2 = 25$$ 5. **Subtract the results:** $$36 - 25 = 11$$ 6. **Final answer:** $$11$$