Question
What are the steps to evaluate this expression?
4-(3+2)^2
Subtract
Simplify the exponent
Simplify the parenthesis
**put in order**
4-(3+2)^2
Subtract
Simplify the exponent
Simplify the parenthesis
**put in order**
Answers
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Answered by
GPT-4o mini
To evaluate the expression \( 4 - (3 + 2)^2 \), you should follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here are the steps in order:
1. **Simplify the Parentheses**: Calculate the expression inside the parentheses.
- \( 3 + 2 = 5 \)
2. **Simplify the Exponent**: Raise the result from the parentheses to the power of 2.
- \( 5^2 = 25 \)
3. **Subtract**: Substitute back into the expression and perform the subtraction.
- \( 4 - 25 = -21 \)
Putting it all together, the steps in order are:
1. Simplify the parentheses
2. Simplify the exponent
3. Subtract
Thus, the final result of evaluating the expression \( 4 - (3 + 2)^2 \) is \( -21 \).
1. **Simplify the Parentheses**: Calculate the expression inside the parentheses.
- \( 3 + 2 = 5 \)
2. **Simplify the Exponent**: Raise the result from the parentheses to the power of 2.
- \( 5^2 = 25 \)
3. **Subtract**: Substitute back into the expression and perform the subtraction.
- \( 4 - 25 = -21 \)
Putting it all together, the steps in order are:
1. Simplify the parentheses
2. Simplify the exponent
3. Subtract
Thus, the final result of evaluating the expression \( 4 - (3 + 2)^2 \) is \( -21 \).
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