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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

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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 \( 22 \).

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