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: \[ \boxed{4} \]