If n=0 then we run into a small problem. Let us assume that n can equal zero then the following will occur:

xⁿ + yⁿ = 1

We substitute and we have

x⁰ + y⁰ = 1

Any number to the zero power is equal to 1. So we end up with:

1 + 1 = 1

2 = 1

Which is not possible so n cannot equal zero.

RETURN