2005 Power of 2 minus 2004 power of 2

2005 Power of 2 minus 2004 power of 2

Original =2^2005-2^2004
=2*2^2004-2^2004
=2^2004*(2-1)
=2^2004

Find the value of the power of 2006 minus 2, the power of 2005 minus 2, the power of 2004 minus 2, the power of 2003 minus... the power of 2 minus 2, the power of 2 minus 2 minus 1

2^2006-2^2005-2^2004-2^2003-...-2^2-2-1
=2^2006-(1+2+2^2+...+2^2005)
=2^2006-(2^2006-1)/(2-1)
=2^2006-2^2006+1
=1