Problems of the day

It is known that $n$ raised to $0$ equals $1$ .

It is also known that $0$ raised to $n$ equals $0$ .

However, when we raise $0$ to $0$ , we get conflicting answers.

Thus $0$ raised to $0$ is indeterminate because an answer has not been defined.

$0^0 = 0^{1-1} = \frac{0^1}{0^1} = \frac{0}{0} = indeterminate$

What is $0^0$ ? $\color{#69047E}{\boxed{\text{I don't know!}}}$ .

Very good explaination.