Question

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:
\[
\boxed{3}
\]