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
[tex]27^{10}-9^{14}=3^{30}-3^{28}=3^{28}(3^2-1)=3^{28}\cdot 8=3^{27}\cdot3\cdot8=3^{27}\cdot24[/tex]
