Correct Answer:
A. a) -A/B*C^DE
Understanding Prefix Notation
In prefix notation, the operator precedes its operands.
The order of evaluation is from right to left.
Breaking Down the Expression
Given the infix expression: A - B / (C * D ^ E)
To convert it to prefix, we need to follow these steps:
Handle Parentheses:
We start with the innermost parentheses: (C * D ^ E)
Converting this to prefix: * ^ CD E
Handle Division:
The expression becomes: A - B / (* ^ CD E)
Converting it to prefix: - A / B * ^ CD E
Final Prefix Expression:
The complete prefix expression is: -A / B * ^ CD E
Therefore, the correct prefix form of the given infix expression is -A / B * ^ CD E.