Solveeit Logo

Question

Mathematics Question on general and middle terms

The last digit of number 78867^{886} is

A

9

B

7

C

3

D

1

Answer

9

Explanation

Solution

Since, 71=77^{1}=7
72=49,73=343,74=24017^{2}=49,7^{3}=343,7^{4}=2401
7886=(74)22172\therefore 7^{886}=\left(7^{4}\right)^{221} 7^{2}
\therefore The last digit number 78867^{886} is 99