Final answer:
To evaluate the expression, perform the operations inside the parentheses, then divide and multiply according to the order of operations. The answer is 3.
Step-by-step explanation:
To evaluate the expression, we need to follow the order of operations (PEMDAS/BODMAS). Start by performing the operations inside the parentheses: (14-3²+1)² = (14-9+1)² = 6² = 36. Then, divide 36 by 1: 36 / 1 = 36. Lastly, divide 36 by 3 and multiply by 1/4: 36 / 3 * 1/4 = 12 * 1/4 = 3.
Therefore, the answer is 3 (option b).11