Using binomial theorem, prove that `6^n-5n`always leaves remainder 1 when divided by 25.

Using binomial theorem, prove that 6^n-5n always leaves he remainder 1 when divided by 25.

Using binomial theorem, prove that 8^(n)-7n always leaves remainder 1 when divided by 49.

With the help of bionomial expansion, show that (4^(n)-3n) is always leaves remainder 1, when divided by 9.

Using binomial theorem, evaluate : (99)^5

Using binomial theorem compute : (99)^5

Using binomial theorem, evaluate : (102)^5

Using binomial theorem compute : (102)^6

Using binomial theorem compute : (10. 1)^5

Find the remainder when 7^(103) is divided by 25.

What is the remainder when 13 is divided by 6?