CUET Preparation Today
| What is the remainder when \( { 11 }^{ 14 } \) is divided by 7? |
4 7 11 2 |
| 2 |
| By Fermat's theorem \( { 11 }^{ 7-1 } \) ≡ 1 (mod 7) \( { 11 }^{ 6 } \) ≡ 1 (mod 7) \( { 11 }^{ 12 } \) ≡ 1 (mod 7) \( { 11 }^{ 14 } \) ≡ 121 (mod 7) ≡2 (mod 7) |
