Solve the multi-step problem (1/2)^2⋅12−9+3^2.(1 point)

Answer 1

To solve the expression \((\frac{1}{2})^2 \cdot 12 - 9 + 3^2\), let's follow the order of operations (PEMDAS/BODMAS).

1. Compute the powers: \[ \left(\frac{1}{2}\right)^2 = \frac{1}{4} \] \[ 3^2 = 9 \]

2. Substitute back into the expression: \[ \frac{1}{4} \cdot 12 - 9 + 9 \]

3. Multiply: \[ \frac{1}{4} \cdot 12 = 3 \]

4. Now simplify the expression: \[ 3 - 9 + 9 \]

5. Perform subtraction and addition from left to right: \[ 3 - 9 = -6 \] \[ -6 + 9 = 3 \]

Thus, the final result is: \[ \boxed{3} \]