Simple algebra help; shouldn't it be $-e^6$?

Question

I am solving a problem with a number of distrbution, and in counting the total distribution function, I have encountered a simple math error that I can not quite recall. need some explanation. Why is:

$1 - [1 - e^{-0.5/0.25}] = e^{-6}$

Shouldn't it be $-e^6$?

Answer 1

No. $-(1-e^x) = -1+e^x$ as multiplication distributes over addition / subtraction.

Answer 2

Note that

$$1 - [1 - e^{-\frac{.5}{.25}}] =1-1+e^{-2}=e^{-2}$$