Can you have zero zero's?

The answer is neither. You cannot divide by zero at all.The result of zero divided by zero, as with any other division by zero, is undefined.

Actually 0/0 is undefined because there is no logical way to define it. In ordinary mathematics, you cannot divide by zero. The limit of x/x as x approaches 0 exists and equals 1 so you might be...

"Zero zero" is not a mathematical operation. One application of the term is in aviation safety, where it describes a type of ejection seat that will take the pilot clear of the aircraft at zero...

Zero is nothing which equals nothing :)

Correct.