what is the remainder when 496 is divided by 6please sirs tell me the answer

Since 4^2/6 leaves a remainder 4 so (4^2)^48 will leave a remainder 4.This is simple as 6^2 will always end with 6 similarly (4^2)^48 will end with 6. Now 4^2 would leave the same remainder as 4^96Hope you would find it useful