.

Subsequently, one may also ask, why is 0 to the power indeterminate?

Answer: Zero to zeroth power is often said to be "an indeterminate form", because it could have several different values. Since x⁰ is 1 for all numbers x other than 0, it would be logical to define that 0⁰ = 1.

Also, is 0 to the infinity indeterminate? For example, the expression 1/0 is undefined as a real number but does not correspond to an indeterminate form, because any limit that gives rise to this form will diverge to infinity. Note that zero to the power infinity is not an indeterminate form.

Hereof, what does the indeterminate form 0 0 mean?

When calculus books state that 0⁰ is an indeterminate form, they mean that there are functions f(x) and g(x) such that f(x) approaches 0 and g(x) approaches 0 as x approaches 0, and that one must evaluate the limit of [f(x)]^g(x) as x approaches 0.

Is a number over 0 indeterminate?

Given that, you can see the difference between 1/0 and 0/0. We say that 1/0 is undefined because there is no number c that satisfies 0c = 1. On the other hand, any number c satisfies 0c = 0 and there's no reason to choose one over any of the others, so we say that 0/0 is indeterminate.