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.
