Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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