What is $0^0$? Should we define $0^0$ on its correctness or convenience?

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What is $0^0$ ?

I have read many debates about this question. The debate has been going on at least since the early 19th century. At that time, most mathematicians agreed that $0^0$ = 1, until in 1821 Cauchy listed $0^0$ along with expressions like $\frac{0}{0}$ in a table of undefined forms.

On Wikipedia, there is a thread for the same.

On Quora, i read a discussion about the same.

The question is not to explain for $0^0$=1 or $0^0$=0 or it is undefined.

What sholuld we conclude for defining $0^0$ ?