Answer
-2
Work Step by Step
Evaluate 28 $\div$ (2 - $4^{2}$)
Using the Order of Operations Agreement, we work withing the grouping symbols which is (2 - $4^{2}$), Continuing to follow the order of operations, $4^{2}$ is equal to four times four or 16.
This gives us: 28 $\div$ (2 - 16)
We then finish up the operation within the parentheses: 2 - 16 is -14.
Therefore, we now have the expression reduced down to:
28 $\div$ (-14)
Our last step is to perform division. Since we have a positive number divided by a negative number, our answer (following sign rules for division), is -2.
(28 $\div$ (-14) = -2.
Thus, our expression , when evaluated properly is equivalent to -2.