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maihuna: Legendary Member; Posts: 1578; Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members; Thanked: 82 times; GMAT Score:720

by maihuna » Sun Sep 13, 2009 6:19 am

If k = -1, which of the following is (are) true?
I. k^k = k
II. |k| = -k
III. k^0 = -k
A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

Charged up again to beat the beast

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Source: Beat The GMAT — Problem Solving | Sun Sep 13, 2009 6:19 am

ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

by ssmiles08 » Sun Sep 13, 2009 6:30 am

1) (-1)^(-1) = 1/(-1) = -1 = k: True

2)|-1| = 1 = -(-1): True

3) Any number to the power of 0 is 1.

-(-1) = 1: true

IMO E.

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