Question

If 2^100 + 3^100 + 4^100 + 5^100 is divided by 7, then the
remainder is
​

Answer 1

Step-by-step explanation:

2^100 +3^100 +4^100 + 5^100 is being divided by 7. We need to find the remainder left on performing the division

The expression is equal to :-

(2³)³³(2) +(3³)³³(3)+(5³)³³(5)

The remainder will be equal to :

(-1)³³(2)+(-1)³³(3)+(-1)³³(5)

-2-3-5

-10

Final remainder = 4 ( on diving final ans. i.e -10 by 7)

Note : REMAINDER IS ALWAYS POSITIVE