3/4a^4b^7+1/2a^3b^8-1/9a^2b^4)/[-(1/3 ab^3]^2 =(3/4a^4b^7+1/2a^3b^8-1/9a^2b^4)/[-(1/9 a^2b^6] =3/4a^4b^7/[-(1/9 a^2b^6]+1/2a^3b^8/[-(1/9 a^2b^6]-1/9a^2b^4/[-(1/9 a^2b^6] =-27/4a^2b-9/2ab^2+1/b^2 =27/4-36+1/16 =-467/16