The conversation between human and AI assistant.
What is the remainder when 2^468 is divided by 11?
How did you calculate that?
There is a pattern in the remainders of powers of 2 when divided by 11. The remainders go in a cycle of 2, 4, 8, 5, 10, 9, 7, 3, 6, 1, 2, 4, and so on. Since 468 leaves a remainder of 12 when divided by 11, we can find the remainder of 2^12, which is 4, and that is the 2^468 divided by 11.