Evaluate the expression (1^4⋅(5+3)/(6−2))^2. Show all your work.

Answer 1

The expression is (1^4*(5+3)/(6-2))^2.

First, compute the operations inside the parentheses.
1^4 = 1.
5 + 3 = 8.
6 - 2 = 4.

This simplifies the expression to (1*8/4)^2.

Next, perform the multiplication and division from left to right.
1*8 = 8.
8/4 = 2.

This simplifies the expression to 2^2.

Finally, calculate the exponent.
2^2 = 4.

The expression (1^4*(5+3)/(6-2))^2 evaluates to 4.