Question

Q. What is the reminder when $2^{2000}$ is divided by 5

• A. 3
• B. 2
• C. 1
• D. 4

Answer 1

The correct option is C 1

$\text{Rem}\frac{2^4}{5}=1\text{Rem}\frac{2^{2000}}{5}\text{Rem}\frac{2^{4^{5000}}}{5}=1^{500}=1$