2014 · Q27
What is the remainder when 4^1000 is divided by 7?
Elementary MathematicsNumber System
- A1
- B2
- C4
- DNone of the above
Explanation
4^3 = 64 ≡ 1 (mod 7); 4^1000 = 4^(999+1) ≡ 4 (mod 7).
What is the remainder when 4^1000 is divided by 7?
Explanation
4^3 = 64 ≡ 1 (mod 7); 4^1000 = 4^(999+1) ≡ 4 (mod 7).