What is the value of the prefix expression + - * 2 3 5/ ↑ 2 4 4?

General
1

What is the value of the prefix expression + - * 2 3 5/ ↑ 2 4 4 ?

2

What is the value of the prefix expression + - * 2 3 5/ ↑ 2 4 4?

Answer:
To evaluate the value of the prefix expression + - * 2 3 5 / ↑ 2 4 4, let’s break it down step by step. Prefix expressions (Polish notation) require evaluation from right to left, and operations are performed as soon as the needed operands are available.

  1. Expression Breakdown:
    • Key symbols to identify: +, -, *, /, ↑.
    • * 2 3: Multiply 2 and 3.
    • / ↑ 2 4 4: This involves finding the result of (2^4) (exponentiation) and then dividing by 4.
    • - and + are remaining operators to combine the results.

Let’s start evaluating step-by-step:

Step-by-Step Evaluation:

  1. Evaluate * 2 3:

    • $
    • 2 3 = 2 \times 3 = 6
      $

  2. Evaluate ↑ 2 4:

    • 2^4 = 16

  3. Evaluate / 16 4:

    • / 16 4 = 16 \div 4 = 4

  4. Combine with 5 using -:

    • $
    • 6 5 = 6 - 5 = 1
      $

  5. Final Evaluation using + 1 4:

+ 1 4 = 1 + 4 = 5

Final Answer:

So, the value of the prefix expression + - * 2 3 5 / ↑ 2 4 4 is \boxed{5}