Question

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.