Practicing Success
Practicing Success
CUET Preparation Today
| What is the remainder when \( { 11 }^{ 7 } \) is divided by 7? |
4 11 8 7 |
| 4 |
| By Fermat's theorem \( {11 }^{ 7-1 } \) ≡ 1 (mod 7) \( { 11 }^{ 6 } \) ≡ 1 (mod 7) \( { 11 }^{ 7 } \) ≡ 11 (mod 7) ≡ 4 (mod 7) |
