Question

(c) If f(x) = a^x , then show that f(m +n + p) = f(m). f(x). f(p)​

Answer 1

`\text{Given that,}~\\\\f(x) =a^x\\\\\text{L.H.S}\\\\=f(m+n+p)\\\\=a^(m+n+p)\\\\\text{R.H.S}\\\\=f(m) \cdot f(n) \cdot f(p)\\\\=a^m \cdot a^n \cdot a^p\\\\=a^(m+n+p)\\\\ \text{L.H.S} = \text{R.H.S}\\\\\text{Proved.}`