Catalyst University Math: Proof that 0 to the 0 Power (0^0) is 1

The video explains why zero to the zeroth power equals one. It begins with a review of exponent rules, then poses the question of zero to the zeroth power. The proof involves expressing the problem as a limit and using calculus, specifically L'Hopital's Rule, to solve it. The conclusion is that zero to the zeroth power is indeed one.

Describe the indeterminate form that arises when evaluating the limit of zero times negative infinity.

What is L'Hopital's rule and how is it applied in this context?

What is the significance of the exponential function in the proof presented?