anything to the power of 0 is 1 except for 0. 0^0 is an indeterminate form. one way to demonstrate this is x^a/x^a = x^(a-a) which can be rewritten as 1=x^0. since e is not 0 e^0=1. this only works to numbers not infinity.
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2 to the power 0 or 20 is equal to 1
anything to the zero power equal 0
A polynomial is identically equal to zero if and only if all of its coefficients are equal to zero. eg. The power series on the left is identically equal to zero, consequently all of its coefficients are equal to 0:
03 = 0
Because any number raised to the power of 0 is always equal to 1