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Zero to the power of zero

It is determined by definition that 00 ≝ 1, as you cannot calculate it's value.

 


Explanation

Exponentiation means "multiply the factor 1 so often with the base as the exponent of this indicates", so

Written in more detail you get

a3 = 1 · a · a · a
a2 = 1 · a · a
a1 = 1 · a
a0 = 1

Zero as exponent tells that factor 1 must not be multiplied with the base, so only 1 remains. This notation produces 00 ≝ 1 and that is good.

 


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