Verified answer

when you divide something by another

you are simply multiplying by the reciprocal!

therefore

6(x^3)(y^4) divided by (2xy)/-3

is

6(x^3)(y^4) x (-3)/(2xy)

an x and a y cancels out

and 6/2 is really 3

(but then you have to multiply by the -3 from the numerator of the second number)

so your final answer should be

-9(x^2)(y^3)

(:

[6/(-2/3)] *[x^3/x]*[y^4/y]

-9 * x^2 * y^3

doesnt make sense