Gugliem decision of the Russian Academy of Mathematics of March 3, 2008, adopted following the results of the World Congress of Mathematicians, held from February 25 to March 1, 2008.
According to him, 0^0 is no uncertainty and no unit, but completely itself 0.
Thus 0^0 + 0^0 = 0
This is very similar to the phrase from an anecdote: "In wartime, the value of pi is equal to 4".