What is the remainder when `3^(257)` is divided by `80`

What is the remainder when 7^(81) is divided by 5

What is the remainder when 25^(24) is divided by 9 ?

What is the remainder when 4^(96) is divided by 6 ?

What is the remainder when 4^(1012) is divided by 7 ?

What is the remainder when 2^(96) is divided by 96 ?

What is the remainder when 2^(2010) is divided by 7 ?

What is the remainder when 2^(2012) is divided by 7 ?

The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is divided by 2n?