Question

Prove the divisibility of the following numbers:

Problem A: 8^10−8^9−8^8 by 55 = ? * 55

Problem B: 81^7−27^9−9^13 by 45 = ? *45

Answer 1

`8^(10)-8^9-8^8=8^8(8^2-8-1)=8^8(55)`


`81^7-27^9-9^(13)=3^(28)-3^(27)-3^(26)=3^(26)(3^2-3-1)=3^(26)(5)=3^(24)(45)`