Division of Zero by Zero

 It has been suggested as of August 4, 2021 that this page or section be merged into Division by Zero. (Discuss)

Now if we divide Zero by Zero the equation looks like: 0/0 but it is currently undefined,

If we now try to prove it then.

The summing method

If we take 0/0 then we can also write it as (1-1)/(1-1) then it equals to 1, now if we take the 0 in numerator as (2-2) and other zero in denominator as (1-1) then it also equates to 2.

{(2-2)/(1-1)= 2(1-1)/(1-1) = 2} , now if we write it as {($\infty - \infty$)/(1-1) then it equates to $\infty$}

so, we can conclude that division of 0/0 can equate to any value of integers till infinity.

Using laws of Indices

Now if we use laws of Indices, then,

$0/0 = 0^1/0^1$ = 0^1-1 (As, a^m/a^n = a^m-n)

then 0^0 = 1 which is already proven,

so 0/0 should also equate to 1 only in this case.

Conclusion

Now, we used two methods to find actual value of 0/0 and the common answer to both of them is 1, so we can conclude that the division of 0/0 equated to 1.