Question

Prove that: 2^13–2^10–2^9 is divisible by 13

Answer 1

Take 2^9 common

=2^9( 2^4 - 2^1 - 2^0)

=2^9( 16 - 2 - 1)

=2^9(13)

Therefore the given equation is divisible by 13

Answer 2

hello friend here is the solution

by taking 2^9 common from your eq we get

==>
$2 {}^{9} (2 {}^{4} - 2 {}^{1} - 2) \\ \\ 2 {}^{9} (16 - 2 - 1) \\ \\ 512(13) \div 13 = 512$
hence proved hope it helps !