# 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?

5 years, 11 months ago

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I think it is indeterminate, waiting for the staff to give the opinion!

- 5 years, 11 months 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.

- 5 years, 11 months ago

I think we need to have a vote, I know some people do not have opinions, but maybe it would be okay for this to be done on a problem by problem basis. If a problem requires the solution of 0 to the 0 and they do not want it to be 1 or indeterminate(whichever we decide to make as the basis) they can state in the problem what the definition of 0 to the 0 is.

- 5 years, 11 months ago

Well, many conventions defined $0^{0}$ as $1$.

- 5 years, 11 months 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.

- 5 years, 11 months 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.

- 5 years, 11 months ago

Okay... we should vote!

- 5 years, 11 months ago

Ya!

- 5 years, 11 months ago

@Calvin Lin Is it possible to have a vote?

- 5 years, 11 months ago

I guess, he will allow it!

- 5 years, 11 months ago

Well, Youtube sources say that it is undefined, including the numberphile. Further, it's proof has also been derived by calculus.

- 5 years, 11 months ago

I think it should be 1

- 5 years, 11 months ago

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

- 5 years, 11 months ago

Google says 1... But Wolfram Alpha says indefinite.

- 5 years, 11 months ago