Exponentiation
Zero exponent

As mentioned earlier, a (nonzero) number raised to the 0 power is 1:

This value is also obtained by the empty product convention, which may be used in every algebraic structure with a multiplication that has an identity. This way the formula

also holds for n = 0 {\displaystyle n=0}.

The case of 0 is controversial. In contexts where only integer powers are considered, the value 1 is generally assigned to 0 but, otherwise, the choice of whether to assign it a value and what value to assign may depend on context.
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