Question

Find the remainder when: \(3^{100}+4^{100}\) is divided with \(7^{100}\) .

Answer 1

i.e :
\[\large{\text{What is the remainder when:}\space \frac{3^{100}+4^{100}}{7^{100}}}\]

Answer 2

@hartnn @sauravshakya @TuringTest

Answer 3

fermat's little theorem ?

Answer 4

PLZ wait a minute.

Answer 5

Hmn may be that but I have an easier way, but I will like to hear that from you.

Answer 6

Guys take your time... I know this involves a *little much thinking* .

Answer 7

easier way is to go for periodicity of last digit ?

Answer 8

OK, I must also say that I am not sure for my solution also :) ...

Answer 9

Not that hartnn.

Answer 10

Please come up with a full solution so that I can also say whether you have a correct idea or not.

Answer 11

okk...i'll try with fermat....

Answer 12

OK, go for that hartnn.

Answer 13

ISNT