Prove that any number raised to the 0'th power equals 1

(a number)^to the 'A' power, divided by (the same number)^to the 'B' power =                                                        (the same number)^(A - B) powerIf 'A' = 'B', then the numerator and the denominator are both                                   (the same number)^to the same power,and since (A - B = 0) , the quotient is   (the same number)^to the ( 0 ) power.But a fraction with the same thing in the numerator and the denominator is '1 '.qed

Its undefined DUH like why would it be 1 or 0