Show-that-if-a-b-then-an-bn-

Question Number 63689 by Rio Michael last updated on 07/Jul/19

S h o w t h a t i f a ∣ b t h e n a n ∣ b n

Commented by Prithwish sen last updated on 07/Jul/19

lf a ∣ b

then b = aq (q \in N)

multiplying both sides by n

bn = anq \Rightarrow \frac{bn}{an} = q \Rightarrow an ∣ bn

Hence proved .

Commented by Rio Michael last updated on 07/Jul/19

c o r r e c t

Commented by Prithwish sen last updated on 07/Jul/19

thanks