Practicing Success
Practicing Success
CUET Preparation Today
| What is the remainder when \( { 2 }^{ 15 } \) is divided by 7? |
4 3 1 8 |
| 8 |
| By Fermat's theorem \( { 2 }^{ 7-1 } \) ≡ 1 (mod 7) \( { 3 }^{ 6 } \) ≡ 1 (mod 7) \( { 3 }^{ 12 } \) ≡ 1 (mod 7) \( { 3 }^{ 15 } \) ≡ 8 (mod 7) |
