What is the value of $6^{12}(mod\, 7)$?
Answer & explanation
Correct answer: option 2
The correct answer is option (2) : 1
$6^{12}(mod\, 7)$
$6^2=36≡ 1(mod\, 7)$
$(6^2)^6≡1^6(mod\, 7)$
$6^{12}≡1(mod\, 7)$
$∴6^{12}(mod\, 7) = 1$
What is the value of $6^{12}(mod\, 7)$?
Correct answer: option 2
The correct answer is option (2) : 1
$6^{12}(mod\, 7)$
$6^2=36≡ 1(mod\, 7)$
$(6^2)^6≡1^6(mod\, 7)$
$6^{12}≡1(mod\, 7)$
$∴6^{12}(mod\, 7) = 1$