Simplify the expression.

Step-by-step explanation:
Hi there! Since we are dealing with only numerical values(no variables) we can use PEMDAS to simplify this expression.
[tex]\text{PEMDAS}: \\\quad \text{P} - \text{Parentheses}, \\\quad \text{E} - \text{Exponents}, \\\quad \text{M} - \text{Multiplication}, \\\quad \text{D} - \text{Division}, \\\quad \text{A} - \text{Addition}, \\\quad \text{S} - \text{Subtraction}[/tex]
Solving:
[tex]-2(7-3+4)^2[/tex]
We must solve what is in the parenthesis first:
[tex]-2(8)^2[/tex]
Now evaluate the exponent:
[tex]-2(64)[/tex]
Now do the multiplication:
[tex]\boxed{\boxed{-128}}[/tex]
That's it!