Question

Evaluate the expression (1^4 x (5+3)/ (6-2) )^2. Show all your work. (4 points)

Answer 1

To evaluate the expression \((1^4 \times (5+3) / (6-2))^2\), we will follow the order of operations step by step.

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

2. **Calculate \(5 + 3\)**:
\[
5 + 3 = 8
\]

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

4. **Substitute the calculated values into the expression**:
Now we can substitute these results back into the original expression.
\[
(1 \times 8 / 4)^2
\]

5. **Calculate \(1 \times 8\)**:
\[
1 \times 8 = 8
\]

6. **Calculate \(8 / 4\)**:
\[
8 / 4 = 2
\]

7. **Now substitute back to the expression**:
\[
(2)^2
\]

8. **Finally, calculate \(2^2\)**:
\[
2^2 = 4
\]

Putting it all together, the value of the expression \((1^4 \times (5+3) / (6-2))^2\) is:
\[
\boxed{4}
\]