Question

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

17
17

15
15

7
7

9

Answer 1

Let's solve the expression step by step:

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

1. **Simplify \(\frac{3}{9}\)**:
\[
\frac{3}{9} = \frac{1}{3}
\]

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

3. **Square the result**:
\[
4^2 = 16
\]

4. **Evaluate \(2 - 3\)**:
\[
2 - 3 = -1
\]

5. **Cube this result**:
\[
(-1)^3 = -1
\]

6. **Subtract the result of the cube from the squared result**:
\[
16 - (-1) = 16 + 1 = 17
\]

Thus, the final answer is \(\boxed{17}\).