Let r be the least non-negative remainder when `(22)^7` is divided by 123. The value of r is

Find the remainder when 5^(123) is divided by 7.

The remainder when 7^(7^(7)) is divided by 9 is

Let A={0,1,2,3,4,5}. If a_(1)binA, then an operation @ on A is defined by a@b=k where k is the least non-negative remainder when the sum (a+b) is divided by 6. Show that @ is a binary operation on A.

Find the remainder when 123^(321) is divided by 5.

Let S=(0,1,2,3,4,) and * be an operation on S defined by a*b=r , where r is the least non-negative remainder when a+b is divided by 5. Prove that * is a binary operation on S.

Let S=(0,1,2,3,4,) and * be an operation on S defined by a*b=r , where r is the least non-negative remainder when a+b is divided by 5. Prove that * is a binary operation on S.

Let S={1,\ 2,\ 3,\ 4} and * be an operation on S defined by a*b=r , where r is the least non-negative remainder when product is divided by 5. Prove that * is a binary operation on Sdot

Let S={1,2,3,4} and * be an operation on S defined by a*b=r, where r is the least non-negative remainder when product is divided by 5.Prove that * is a binary operation on S.

Let S=(0,1,2,3,4,) and * be an operation on s defined by a*b=r, wherer is the least non-negative remainder when a+b is divided by 5. Prove that * is a binary operation on S .