why does 0 to the power of 0 equal 1?

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why does 0 to the power of 0 equal 1?

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Anonymous 0 Comments

It doesn’t; that expression is undefined. For real numbers other than 0, n^0=1 because 1 has the same relationship to 1/n as n has to 1. That is to say they are separated by a common factor (n). For real numbers other than 0, 0^n=0. Zero multiplied by itself an arbitrary number of times will always equal zero. 0^0 can’t be both 0 and 1 and it doesn’t make sense to assign an arbitrary value like 1/2 so the value has to be left undefined.

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