Clarification about $0^0$ [duplicate]
"Indeterminate form" refers primarily to the limiting behaviour of functions $f(x), g(x)$. So $0^0$ is an "indeterminate form" in the sense that the limit of $f(x)^{g(x)}$ cannot be determined by simply knowing that $f(x), g(x) \to 0$.
The debate regarding the value of $0^0$ as its own mathematical expression — not an indeterminate form or limiting value, as described above, but rather unambiguously the number zero raised to the zero-th power — is a different matter. The standard convention is that $0^0=1$, essentially since this makes combinatorics and power series work like they are supposed to.