Let 𝑎,𝑏,𝑚 and 𝑛 be natural numbers , 𝑎>1, and suppose that 𝑎,𝑏 have no common factor. Prove that $(𝑎^𝑛 + 𝑏^𝑛)|(𝑎^𝑚+𝑏^𝑚)\implies 𝑛|𝑚 $
$a,b,m,n$ be positive integers such that g.c.d.$(a,b)=1$ and $a^m+b^m|a^n+b^n$ , then $m|n$?