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only 2^-1 satisfies stmt 1. Sometimes it is preferred to plug in some kind of numbers to test the statement. This helps in most of the cases, specially with DS number properties. Make sure, to consider all types of numbers unless specified

If x is a positive integer and w is a negative integer, what is the value of xw?

1) x^w = 1/2
2) w = -1

It's either A, C, or E

Obviously once we know w=-1, then x^-1 = 1/x = 1/2 and thus x = 2 and xw = -2

So, it's either A or C

Last step,

x^w = 1/2 , since both x and y are integers, I believe there is only one solution for this equation
it really comes to 1/x^w , where w becomes a positive integer here

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...