Question

prove first law of exponents

Answer 1

We inductively define a1=a,an+1=ana. I want to show that an+m=anam.

By definition, this is true if m=1. Now for m=2, we have
an+2= a(n+1)+1 = an+1a = (ana)a = an(aa) = ana2

Answer 2

Laws of exponents are :::


1²*1²=1²+²=1^4

1²/1²=1^ 1-1