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The three integers X, Y, and Z. Is their product XYZ = zero

(1) X^Y=1 (2) X=Y=Z

CAN ANYONE HELP ME? I think it is E. As combining both statement we have two possible values for x=y=z. Combining statement 1 and 2, there could be two values (x,y,z)= (1,1,1) or (0,0,0) But where i am confused is that - can we say 0^0=1 for statement 1. If we can't, then the answer must be C not E. Let me know what GMAT says about 0^0.
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