`" if " a^(1) =a,a^(r+1) =a^(r).a " prove that :"`
`(ab)^(n) =a^(n)b^(n),` Where `n in N`

Explanation

To prove that \((ab)^n = a^n b^n\) for all \(n \in \mathbb{N}\) using the principle of mathematical induction, we will follow these steps:

### Step 1: Base Case
We start by checking the base case where \(n = 1\).

**Left-Hand Side (LHS)**:
\[
(ab)^1 = ab
...