SOLUTION: Find all positive and negative integers x for which (x)(x)(x)=(x)^x

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Question 1144839: Find all positive and negative integers x for which (x)(x)(x)=(x)^x
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
(x)(x)(x)=(x)^x

(-1)(-1)(-1)=(-1)^-1, both sides equal -1
(1)(1)(1)=(1)^1, both sides equal 1
(3)(3)(3)=(3)^3, both sides = 27

Note that 0 is NOT a solution since 0^0 is not defined.
Note also that -3 is not a solution, since (-3)(-3)(-3) is -27,
but (-3)^(-3) is -1/27.

So the solution set is {-1, 1, 3}

Edwin