Why anything raised to the 0 Power is 1


I will never forget Mrs. Green, my 7th grade math teacher, emphasizing that raising any number to the 0 power was always equal to 1. She became rather indignant when I asked her why and insisted that I just memorize this absurd looking rule of exponents.

I can still hear her saying that any non-zero base raised to the 0 power is one. Since rote memorization is a poor substitute for understanding and also does not advance one’s critical thinking skills, I looked up why any expression raised to the 0th power is always one. The proof follows and only depends on the subtraction rule for laws of exponents.


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