1.[(-3mn^2*m^2)^3]^2
= (-3m^3n^2)6
= 729 * m^18 * n^12
2.(0.5*3又2/3)^2008*(-2*3/11)^2007
= (1/2 * 11/3))^2008 * (-6/11)^2007
= (11/6)^2008 * (-6/11)^2007
= [(11/6)^2007 * (-6/11)^2007] * 11/6
= -1 * 11/6
= -11/6