We will be proving the above equation by putting different values of n (i.e. n = 1, 2, 3 ….n)

For n=1,

For n=2,

A² = A.A

For n=3,

A³ = A².A

r n=4,

A⁴ = A³.A

d so on for other values of n.

If we notice each result, then we will see that it is of same type that we are trying to prove.

So we can generalise the above results for all n ϵ N

Hence Proved