The problem seems to be that 0^(1/2) does give an error instead of zero (the 
correct result), same for 0^0.1 and some other variants with 0^... I can 
confirm this bug on Natty.
gcalctool seems to use the equality a^b = e^(ln(a) * b) to calculate the 
result, which fails for a=0.

Could you report this bug in the upstream bug tracker
(https://bugzilla.gnome.org/enter_bug.cgi?product=gcalctool ) and link
the bug report here? Thanks!

** Changed in: gcalctool (Ubuntu)
       Status: Incomplete => Confirmed

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https://bugs.launchpad.net/bugs/752885

Title:
  problem in basic operation exponential

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