由题意知
5l2a+1l+4(b-3)^2=0
5l2a+1l>=0,4(b-3)^2>=0
则2a+1=0且b-3=0
即a=-1/2,b=3
a^b+(2a)^2009
=(-1/2)^3+(-1)^2009
=-1/8-1
=-9/8