2014 · Q25
What is the remainder when 4¹⁰¹² is divided by 7?
Elementary MathematicsNumber System
- A1
- B2
- C3
- D4
Explanation
4³ = 64 ≡ 1 (mod 7); 1012 = 3·337 + 1, so 4¹⁰¹² ≡ 4 (mod 7).
What is the remainder when 4¹⁰¹² is divided by 7?
Explanation
4³ = 64 ≡ 1 (mod 7); 1012 = 3·337 + 1, so 4¹⁰¹² ≡ 4 (mod 7).