Question

solve the multi-step (1/2) ^2 x 12 - 9 + 3^2

Answer 1

Let's solve the expression step by step:

The expression is \((\frac{1}{2})^2 \times 12 - 9 + 3^2\).

1. Calculate \((\frac{1}{2})^2\):
\[
(\frac{1}{2})^2 = \frac{1}{4}
\]

2. Multiply \(\frac{1}{4}\) by \(12\):
\[
\frac{1}{4} \times 12 = 3
\]

3. Now, we update the expression with this result:
\[
3 - 9 + 3^2
\]

4. Calculate \(3^2\):
\[
3^2 = 9
\]

5. Substitute back into the expression:
\[
3 - 9 + 9
\]

6. Now perform the operations from left to right:
- First, calculate \(3 - 9\):
\[
3 - 9 = -6
\]
- Then add \(9\):
\[
-6 + 9 = 3
\]

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