(-3a^2b^2)^3*(-4a^2b^3)^2÷(-6a^4b^2)=(-27a^6b^6)*(16a^4b^6)÷(-6a^4b^2)=27a^6b^6*16a^4b^6÷6a^4b^2=(27*16÷6)a^(6+4-4)b^(6+6-2)=72a^6b^10