Solve the multi-step problem (1/2)⋅4^2−(4−6)^4/2 .(1 point) Responses 9 9 5 5 7 7 3

Answer 1

To solve the expression \((1/2) \cdot 4^2 - \frac{(4 - 6)^4}{2}\), we will follow the order of operations:

1. Calculate \(4^2\): \[ 4^2 = 16 \]

2. Calculate \((4 - 6)\): \[ 4 - 6 = -2 \]

3. Calculate \((-2)^4\): \[ (-2)^4 = 16 \]

4. Now substitute these values back into the expression: \[ (1/2) \cdot 16 - \frac{16}{2} \]

5. Calculate \((1/2) \cdot 16\): \[ (1/2) \cdot 16 = 8 \]

6. Calculate \(\frac{16}{2}\): \[ \frac{16}{2} = 8 \]

7. Now substitute these values back into the expression: \[ 8 - 8 \]

8. Finally, calculate \(8 - 8\): \[ 8 - 8 = 0 \]

None of the provided response options (9, 5, 7, 3) are correct as the solution yields 0.