anonymous
  • anonymous
if (a,b)=d and (a,b^n)=d' find the relationship between d and d'?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
interesting question
anonymous
  • anonymous
\[a)d \le d' d\]\[d'
anonymous
  • anonymous
if \((a,b)=1\) then for sure \((a,b^n)=1\) aswell

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zzr0ck3r
  • zzr0ck3r
how in the word could you possibly say that?
anonymous
  • anonymous
way what? that is was interesting?
Loser66
  • Loser66
I don't get it.!! the question is about the relationship between d and d'. Among the choices, only one option shows the relationship between them. Do we need any other logic to get the answer??
anonymous
  • anonymous
good point !
zzr0ck3r
  • zzr0ck3r
I was saying I do not understand how we can make any conclusion about anything given the information. :) I do agree it is interesting. We just cant assume that \(=1\) is even a thing because the relation \(\le \) seems to be on the ordered pairs. :)
ganeshie8
  • ganeshie8
Are you sure the first option isn't \(a)~d \le d' \color{red}{\le} d^n\) ?
freckles
  • freckles
I think the fundamental theorem of arithmetic is useful here if anyone needs any convincing (think prime factorizations )

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