aman88 wrote:Q: If k=-1, which of the following is (are) true?
1. k^k=k
2. | k| =-k
3. k^0=-k
A. 1 only
B. 1 and 2 only
C. 1 and 3 only
D. 2 and 3 only
E. 1. 2. and 3.
Can someone please explain me the third point (k^0=-k) of this question? How is -1^0=-1?
My answer was B but OA E.
Thanks.
1. k^k=k
(-1)^(-1) = -1
1/(-1)^1 = -1
1/(-1) = -1
-1 = -1.
Since statement 1 is true, eliminate D.
2. |k| =-k
|-1| = -(-1)
1 = 1.
Since statement 2 is true, eliminate A and C.
3. k^0=-k
(-1)^0 = -(-1)
1 = 1.
Since statement 3 is true, eliminate B.
The correct answer is
E.
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