What is 0^0? Is 1 or undefined?

We know that anything to the power of 0 is 1, but we are also taught that 0 to the power of anything is 0.

Because these two rules conflict, I would assume that it is undefined.

Stated as 0^{0} is meaningless. You have to say it as "the limit of X^{X} as X approaches zero"

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