Final answer:
The mathematics problem is solved by correctly applying the order of operations, resulting in x equaling 256 after dividing 32 by 8 and then multiplying by 64.
Step-by-step explanation:
The subject of the student's question is mathematics, specifically, order of operations in arithmetic. To solve the expression (x = 32 ÷ 8 × 64), we must apply the order of operations, which dictates that we perform multiplication and division from left to right. First, we divide 32 by 8, which equals 4. Then, we take that result and multiply it by 64, which gives us 256. So, the value of x is 256. Therefore, the correct answer is (a) 256.