Question about Cauchy Theorem to Abelians groups

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    Cauchy Groups Theorem
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juaninf
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Let [tex]G[/tex] group and [tex]N[/tex] subgroup normal from [tex]G[/tex] if [tex]b \in{G}[/tex] and [tex]p[/tex] is prime number then [tex](Nb)^p=Nb^p[/tex],

Please help me with steps to this proof.
 
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