(1/2+2)^2005×(2×1/2-7/5)^2004
=(5/2)^2005×(-2/5)^(2004)
=(5/2)×(5/2)^2004×(2/5)^(2004)
=(5/2)×[(5/2)×(2/5)]^2004
=(5/2)×1^2004
=(5/2)×1
=5/2