Simplify (3xy2)(4xy)(2xy)3.
24x3y2
24x5y6
96x5y6
96x3y3

(3xy^2)(4xy)(2xy)^3 = (3xy^2)(4xy)(8x^3 y^3) = (3*4*8)x^(1+1+3)y^(2+1+3) = 96x^5y^6

First, you need to simplify the term with an exponent. It is done as follows:

(3xy2)(4xy)(2xy)^3 = (3xy²)(4xy)(8x³y³)

We can now multiply everything and result to an answer which is:

(3xy²)(4xy)(8x³y³) = (3xy²)(32x^4y^4) = 96x^5y^6

Therefore, the correct answer is the third option.