Maths: Why is a^0=1?
Let’s find powers of 2
2^-3 = 1/8
2^-2 = 2 * 1/8 = 1/4
2^-1 = 2 * 1/4 = 1/2
2^0 = 2 * 1/2 = 1 <- This is why
2^1 = 2 * 1 = 2
2^2 = 2 * 2 = 4
2^3 = 2 * 4 = 8
In the above example we multiply by 2 as we move down.
Let’s do that in reverse
2^4 = 16
2^3 = 16/2 = 8
2^2 = 8/2 = 4
2^1 = 4/2 = 2
2^0 = 2/2 = 1 <- This is why
2^-1 = 1/2 = 0.5
2^-2 = 1/2*2 = 0.25
2^-3 = 1/2*4 = 0.125
In the above example we divide by 2 as we move down.