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A mathematical process is like adding, dividing, subtracting and multiplying or things like that.
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
The only possible answer is 0. If you divide any other number by 2 you will always get half that number, as dividing by 2 is the same as multiplying by 1/2.