evaluate the expression ( 1^4 * (5+3) )^2 . show all your work. (4 points)
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( (6-2))
To evaluate the expression, we will follow the order of operations: parentheses, then exponents, then multiplication/division, and finally addition/subtraction.
First, we solve the expression inside the parentheses: (5+3) = 8.
The expression becomes: (1^4 * 8)^2 / (6-2).
Next, we simplify the exponent: 1^4 = 1.
The expression becomes: (1 * 8)^2 / (6-2).
Now, we simplify the multiplication: 1 * 8 = 8.
The expression becomes: 8^2 / (6-2).
The next step is to simplify the subtraction: 6 - 2 = 4.
The expression becomes: 8^2 / 4.
Then, we solve the exponent: 8^2 = 64.
The expression becomes: 64 / 4.
Finally, we perform the division: 64 / 4 = 16.
Therefore, the evaluated expression is 16.