Prove that `53^(103)+103 ^(53)` is divisible by 39.

(103)^86-(86)^103 is divisible by

Prove that P(10,3)=P( 9,3) +3P ( 9,2)

Find : tan 53^(@) 38'

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

The 100^(th) term of the series 3+ 8+22+72+266+ 103+ ....... .is divisible by 2^n , then the value of n can be

If 53^(53)-33^(3) is divided by 10, then the remainder obtained is

The remainder when 23^23 is divided by 53 is

Without expanding the determinants, prove that |(103, 115, 114), (111, 108, 106), (104, 113, 116)|+|(113, 116, 104), (108, 106, 111), (115, 114, 103)|=0

The remainder when 9^103 is divided by 25 is equal to

To what stable isotope ._(103)Lr^(257) decay?