Tommyboy, based on what you say here I would assume that you would simplify:
-e^2 = e^2 (e being a real number and all, so you would characterize the negative as the "value of the number").
Would you then also characterize 2e^2 as
(2e)*(2e) = 4e^2?
But wouldn't that have to be 16e^2?
So when would you stop?
Also, the positive or the negative is not the value of the number. The value of the number is the distance from zero on the number line. The positive or negative is the direction.
That gets me to wondering how you would simplify this expression:
-|5|^2
I'll do them one at a time:no, don't assume anything
no, -e^2 = -e^2. Why would you change the negative arbitrarily?
no the correct answer to 2e^2 is 2(e^2) where e is squared then multiplied to 2.
I wouldn't ask that question as it is bound to produce confusing results. If you meant to ask (-5)^2 you should ask it. If you meant to ask -(5^2) you should ask THAT.
You should not ask -(5)^2 anymore than you should ask -5^2 and expect an answer of -25.