Question

Prove that:
27^10-9^14 is divisible by 24

Answer 1

`27^(10)-9^(14)=3^(30)-3^(28)=3^(28)(3^2-1)=3^(28)\cdot 8=3^(27)\cdot3\cdot8=3^(27)\cdot24`

Answer 2

27^10-9^14

=3^30 - 3^28

=3^28 (3^2-1)

=3^28 ·8

=2^27 ·3·8

=3^27 · 24 is divisible by 24