what is 2^2014-2^2013
Factor out the common term: 2^2013:
Since: 2^2014 = 2·2^2013
So: 2^2014 - 2^2013
= 2·2^2013 - 2^2013
= 2^2013·( 2 - 1 )
= 2^2013·(1)
= 2^2013