3 ms·

Why is x^0=1? How can something be generated out of any equation where the only number is 0 (nothing)

• conradludgate 6y ago
  > We can extend this, for example what would 2^3 * 2^0 be? If we want our rule to be consistent, it would be 2^3, implying that 2^0 = 1 replace 2 with x. Another way to see it is 2^2 = 4 = 8 / 2 = 2^3 / 2 2^1 = 2 = 4 / 2 = 2^2 / 2 2^0 = ? how about 2^1 / 2 = 1 Again, replace 2 with x and the same follows. With this example though, when x = 0, it's obvious that it no longer works since 0^0 would be 0^1 / 0 = 0/0