Final answer:
To evaluate the expression (2 - 3)4(4) - 9 + 3, follow the order of operations: perform calculations inside parentheses, then exponents, and finally addition and subtraction. The correct answer is -2.
Step-by-step explanation:
To evaluate the expression (2 - 3)4(4) - 9 + 3, we need to follow the order of operations, which states that we should perform any calculations inside parentheses first, then calculate any exponents, and finally perform addition and subtraction from left to right.
Starting from the left, evaluate (2 - 3) as -1. Then, calculate (-1)4 as -4. Next, multiply -4 by 4 to get -16.
Finally, subtract 9 from -16 to get -25, and add 3 to get a final result of -22.
Therefore, the correct answer is option a. -2.