Practicing Success
Practicing Success
CUET Preparation Today
| What is the remainder when \( { 3 }^{ 19 } \) is divided by 7? |
3 4 5 6 |
| 3 |
| By Fermat's theorem \( { 3 }^{ 7-1 } \) ≡ 1 (mod 7) \( { 3 }^{ 6 } \) ≡ 1 (mod 7) \( { 3 }^{ 18 } \) ≡ 1 (mod 7) \( { 3 }^{ 19 } \) ≡ 3 (mod 7) |
