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Heypanda
@Heypanda
April 2019
1
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Bonsoir,
Mon problème est :
Démontrer sans calcul : 104^21 congru -1 [7]
Je ne vois pas quelle procédé il faut utiliser.
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caylus
Verified answer
Bonsoir,
104≡6 [7] car 104=14*7+6
Donc 104 ^21 ≡ 6*6**....*6 [7] (il y a 21 facteurs)
≡(6*6)*(6*6)*....*(6*6)*6 [7]
≡1*1*1...*1*6 [7]
≡6 [7]
≡-1 [7]
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Heypanda
Ah oui , -7*0+6
Heypanda
Bh 7*0-6 ????
Heypanda
Mais si il faut 6 en reste il y a que 6 de possible
Heypanda
Mais le resulat n'est en rapport avec rien ?
Heypanda
Je ne comprend pas ou vous voulez en venir
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Verified answer
Bonsoir,104≡6 [7] car 104=14*7+6
Donc 104 ^21 ≡ 6*6**....*6 [7] (il y a 21 facteurs)
≡(6*6)*(6*6)*....*(6*6)*6 [7]
≡1*1*1...*1*6 [7]
≡6 [7]
≡-1 [7]