From the given following which of these operators have the highest order of precedence.Options*' and '/'~' and '^'+' and '-'(' and ')'

Step 1: Break Down the Problem

To determine which operators have the highest order of precedence from the given options, we need to analyze each operator's precedence level.

Step 2: Relevant Concepts

The common order of precedence for these operators, from highest to lowest, is:

1. Parentheses ( and )
2. Exponentiation ^
3. Multiplication * and Division /
4. Addition + and Subtraction -

Step 3: Analysis and Detail

1. Parentheses ( and ): These have the highest precedence and are used to change the natural order of operations.
2. Exponentiation ^: This operator has high precedence, performed after parentheses.
3. Multiplication * and Division /: These operators are at the same precedence level and are performed after exponentiation, from left to right.
4. Addition + and Subtraction -: These have the lowest precedence and are performed last, from left to right.

Step 4: Verify and Summarize

Based on the standard order of precedence in arithmetic operations, parentheses take the highest precedence followed by exponentiation, multiplication/division, and finally addition/subtraction.

Final Answer

The operators with the highest order of precedence among the options are ( and ), followed by ^.