Solution

The correct answer is 2) B, A, C, D

Key Points

To arrange the given prefix expressions based on their values in increasing order, let's evaluate each expression:

• A. + - * 2 / 8 4 3 2
  • First, evaluate the innermost operations: / 8 4 = 2
  • Next, * 2 2 = 4
  • Then, - 4 3 = 1
  • Finally, + 1 2 = 3
• B. ↑ - * 3 3 * 4 2 5
  • First, evaluate the innermost operations: * 3 3 = 9
  • Next, * 4 2 = 8
  • Then, - 9 8 = 1
  • Finally, ↑ 1 5 = 1^5 = 1
• C. + - ↑ 3 2 ↑ 2 3 / 6 - 4 2
  • First, evaluate the innermost operations: ↑ 3 2 = 9
  • Next, ↑ 2 3 = 8
  • Then, - 9 8 = 1
  • Next, - 4 2 = 2
  • Then, / 6 2 = 3
  • Finally, + 1 3 = 4
• D. * + 3 + 3 ↑ 3 + 1 1 3
  • First, evaluate the innermost operations: * + 3 + 3 ↑ 3 2 3
  • Next, * + 3 + 3 9 3
  • Then, * + 3 12 3 
  • Finally, * 15 3 = 45

So, the correct order based on increasing values is: B (1), A (3), C (4), D (45)