`a)2x^2y.9xy^4=(2.9)(x^2 .x)(y.y^4)=18x^3y^5`
`b)(1/4x^3y).(-4x^3y^5)=[1/4 .(-4)](x^3 .x^3)(y.y^5)=-x^6y^6`
`c)5xy.(-2x^2y)=[5.(-2)](x.x^2)(y.y)=-10x^3y^2`
`d)(-1/3a^2b).(3ab^3)=(-1/3 .3)(a^2 .a)(b.b^3)=-a^3b^4`
`e)(-1/4a^3).(-8ab^2)=[-1/4 . (-8)](a^3 .a)b^2=2a^4b^2`
`f)2x.(-4xy).8x^2y^3=[2.(-4).8](x.x.x^2)(y.y^3)=-64x^4y^4`