In imaginary numbers Since the symbol i squared equals negative 1 would negative i squared equal positive 1?

Answer 1

No.  This at first seems counterintuitive, but if you continue thinking about it, it makes sense.  Witness:

(-i)^2
(-1)^2 times i^2
[(-1) times (-1)] times (i times i)
[1] times (-1)
answer = -1

In other words, both i^2 and (-i)^2 equal -1.  This is just like the fact that both 4^2 and (-4)^2 are positive 16.

What can really blow your mind however, is the fact that i is *defined* as being the square root of -1, a fact which is also true of -i.  i and -i are definitionally identical.  Just one of the strange things that happen when you delve into imaginary numbers.