prove by induction that, 1) a^(m+n) = a^m + a^n
2) (a^m)^n=a^(mn)
2. Homework Equations -- mathematical induction
3. The Attempt at a Solution
the equations hold for a = 1.
let's say the equation hold for a = s; then s^(m+n) = s^m + s^n
now for a = s+1; (s+1)^(m+n) = (binomial expansion of...