I ran into one of the older posts and it was clearly indicated that "Don't worry about 0^0 - there's some disagreement among mathematicians about whether it equals zero or is undefined. You won't need to evaluate 0^0 on the GMAT." http://www.manhattangmat.com/forums/0-characteristics-t675....
1 is not sufficient as the only possible values for that equation is x = 0 => y = 0 or x =1 => y = 1 and it's already stated that x is NOT equal to y 2. x^3 = 8 => x = 2 if y^2 = x and if you know x, you cannot determine y as you don't know the sign of y. Here is the case is different. Reme...