Question
Find the value of the expression: \( 12 \div 2+(8-4)^{2} \)
Ask by Bates Zimmerman. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of the expression is 22.
Solution
To evaluate the expression \( 12 \div 2 + (8 - 4)^{2} \), follow the order of operations (PEMDAS/BODMAS):
1. **Parentheses/Brackets**:
\[
8 - 4 = 4
\]
So the expression becomes:
\[
12 \div 2 + 4^{2}
\]
2. **Exponents/Orders**:
\[
4^{2} = 16
\]
Now the expression is:
\[
12 \div 2 + 16
\]
3. **Division**:
\[
12 \div 2 = 6
\]
The expression simplifies to:
\[
6 + 16
\]
4. **Addition**:
\[
6 + 16 = 22
\]
**Final Answer:** 22
Reviewed and approved by the UpStudy tutoring team
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Bonus Knowledge
Let's break it down step by step! First, we handle the division: \(12 \div 2 = 6\). Next, we calculate the expression within the parentheses: \(8 - 4 = 4\). Now, we take that result and raise it to the power of 2: \(4^{2} = 16\). Finally, we add the two results together: \(6 + 16 = 22\). So, the value of the expression \( 12 \div 2 + (8 - 4)^{2} \) is \( 22 \).