Why does x0=1 for any x where x≠0?

Question

Why does x0=1 for any x where x≠0?

Feel free to use any resources that you have. You may NOT just copy and paste from a website, but you may site a website (and include the link to that site) then paraphrase your findings. This means I want your answer in your own words.

Answer 1

1 = x/x        elementary arithmetic

x/x = x^1-1    second law of exponents

x/x = x⁰       simplify

1 = x⁰          transitive of equality

 

QED