Each of the 8 letters below corrosponds to a different digit 1 through 9 and the remaining number is one less than w. Given the following four statements, what digit does each letter represent?
- c^i * i^c = k*(k-1);
- w^n * n^w = c*(c-1);
- o = e^2 - c^2;
- r^i = e^c;
[note: ^ means exponentitation]