CUET Preparation Today
CUET
-- Mathematics - Section B1
Other - Maths Section B1
What is the remainder when \( { 3 }^{ 30 } \) is divided by 7?
1
0
2
3
By Fermat's theorem
\( { 3 }^{ 7-1 } \)≡ 1 (mod 7)
\( { 3 }^{ 6 } \) ≡ 1 (mod 7)
\( { 3 }^{ 30 } \) ≡ 1 (mod 7)