why does 0 to the power of 0 equal 1?
In: 97
It’s undefined as there’s no clear answer.
* x^0 = 1
Any number (except 0) to the power of 0 is 1.
Why 1? Because that’s the neutral element. 2^2 isn’t just 2 times 2, it’s 1 times 2 times 2. 2^1 is 1 times 2 so 2^0 is 1
* 0^x = 0
Taking 0 to any power is 0, as 0 times 0 times 0 will always stay zero.
* 0^0
You could argue that both answers 1 and 0 are equally valid, but ‘equally valid’ in this sense means that both are invalid. The expression itself just doesn’t make any sense because you can’t take 0 to the power of 0, just like you can’t divide by 0.
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