Even perl hints at this: 
C:\_32\C>perl -e "print 0.5 ** 0.5"
0.707106781186548
C:\_32\C>perl -e "print 0.05 ** 0.05"
0.860891659331735
C:\_32\C>perl -e "print 0.005 ** 0.005"
0.973856237016479
C:\_32\C>perl -e "print 0.0000005 ** 0.0000005"
0.999992745697443
C:\_32\C>perl -e "print 0.00000000005 ** 0.00000000005"
0.99999999881405
C:\_32\C>perl -e "print 0.0000000000001 ** 0.0000000000001"
0.999999999997007
C:\_32\C>perl -e "print 0.0000000000000001 ** 0.0000000000000001"
0.999999999999996

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When I was at school (which, admittedly, was a long time ago) there was no question about it. Every real number (including 0) raised to the power of 0 was equal to 1.

Not sure about other numbers, however ... eg does i ** 0 == 1 ?

Cheers,
Rob
Update:According to Math::Complex: 
C:\_32\C>perl -MMath::Complex -e "$z = cplx(0, 1); print $z ** 0"
1

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In reply to Re^2: zero to the power zero by syphilis
in thread zero to the power zero by perlance

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