2^2002 + 2^2001 + 2^2000 - 7 × 4^1000 =
= 2^2002 + 2^2001 + 2^2000 - 7 × (2^2)^1000 =
= 2^2002 + 2^2001 + 2^2000 - 7 × 2^2000 =
= 2^2000 × (2^2 + 2 + 1 - 7) =
= 2^2000 × 0 =
= 0
