If m and n are whole numbers and m^n = 841, what is the value of (m - 23)^(n+1) ?

Question

If 1/x - 1/y = - 29 and the value of (x +12xy - y) / (x - 6xy -y) can be expressed as m/n, where m and n are co prime positive integers.
The value of m + n = ?

Answer 1

m^n=841
841= 29*29 = 29^2
m = 29 n = 2
29 - 23 = 6 2 +1 = 3
6^3 = 216

Answer 2

m=29 n=2 thus 6^3=216

Answer 3

29^2=841, (29-23)^(2+1)=216