if f(x) = a^x , show that f(A+B) = f(A) * f(B)

Question

I have no idea how to solve this.

Answer 1

f(A+B) = a^(A+B) = a^A * a^B = f(A) *f(B)

Answer 2

f(A) = a^A

f(B) = a^B

f(A) * f(B) = a^A * a^B

a^A * a^B = a^{A + B}

a^{A + B} = f(A + B)