×

# Resolution Needed: 0^0=?

I've noticed that problems involving $$0^{0}$$ get a lot of reports and comments debating what the answer is. It seems that Brilliant members are divided into two sides: one saying it is indeterminate, the other saying it is $$1$$.

I believe we need to come up with a collective agreement on what the value of $$0^{0}$$ is so that we avoid future chaos/confusion/conflicts. The purpose of this note is not to decide on the "right answer," but to decide how we can all compromise. What would be the best way to do this?

2 years, 1 month ago

Sort by:

I think it is indeterminate, waiting for the staff to give the opinion! · 2 years, 1 month ago

Google says 1... But Wolfram Alpha says indefinite. · 2 years ago

Indeterminate. For textbooks that consider real number arithmetic only, it is often convenient to just define 0^0=1 however. · 2 years, 1 month ago

I think it should be 1 · 2 years, 1 month ago

Again, this is NOT intended for discussing what the answer is. This is intended for discussing how we can all agree on an answer. · 2 years, 1 month ago

Okay... we should vote! · 2 years, 1 month ago

Well, Youtube sources say that it is undefined, including the numberphile. Further, it's proof has also been derived by calculus. · 2 years, 1 month ago

Ya! · 2 years, 1 month ago

@Calvin Lin Is it possible to have a vote? · 2 years, 1 month ago

I guess, he will allow it! · 2 years, 1 month ago

If you search "0^0" in Google, the Google calculator tells me that it's 1. Of course, I can't completely trust Google's answer, but I think it's 1. · 2 years, 1 month ago

Well, many conventions defined $$0^{0}$$ as $$1$$. · 2 years, 1 month ago

@Calvin Lin Mr. Lin, I would like to ask for your opinion on how this debate can be settled for problems posted on Brilliant in the future. Thank you. · 2 years, 1 month ago