(1/3)^2011x(4/3)^2010x(-9/4)^2011
=(1/3)x(1/3)^2010x(4/3)^2010x(-9/4)^2010x(-9/4)
=(1/3)x[1/3x4/3x(-9/4)]^2010x(-9/4)
=(1/3)x(-9/4)x[-1]^2010
=-3/4x1
=-3/4