Which one of the following has the highest precedence in the expression?ExponentialAdditionMultiplicationParentheses
Question
Which one of the following has the highest precedence in the expression?
- Exponential
- Addition
- Multiplication
- Parentheses
Solution
1. ### Break Down the Problem
We need to determine the order of operations (precedence) in a mathematical expression. The provided operations include:
- Exponential
- Addition
- Multiplication
- Parentheses
2. ### Relevant Concepts
The order of operations is typically remembered using the acronym PEMDAS:
- Parentheses
- Exponents (or Exponential)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
3. ### Analysis and Detail
According to PEMDAS:
- Parentheses have the highest precedence, as they dictate the order in which operations within them must be performed first.
- Exponential operations follow next, as they are calculated after any operations inside parentheses.
- Multiplication and division are on the same level, performed from left to right.
- Addition has the lowest precedence and is performed last.
4. ### Verify and Summarize
Based on the rules outlined above, the order of precedence can be confirmed as:
- Parentheses
- Exponential
- Multiplication
- Addition
Final Answer
Parentheses have the highest precedence in the expression.
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