The expression we have is:
![2xy\cdot xy^2](https://img.qammunity.org/2023/formulas/mathematics/college/51fvdupdci2gdxm5stpeeq8ehqr0jwwfjz.png)
And we are given some values for x and y:
![\begin{gathered} x=2 \\ y=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/79n53lj5tqof25ewqzbzj5p59n9so484b1.png)
The first step will be to substitute the given values into the expression:
![2(2)(4)\cdot(2)(4)^2](https://img.qammunity.org/2023/formulas/mathematics/college/v71by51erb7fviekejcdj3er2svpavvgux.png)
The next step is to solve 4^2 which is equal to 16:
![2(2)(4)\cdot(2)(16)](https://img.qammunity.org/2023/formulas/mathematics/college/5kizsiwk0intn8fpldc0obis61z8xe20ui.png)
And then we solve the multiplications, 2(2)(4) is equal to 16 and (2)(16) is equal to 32:
![16\cdot32](https://img.qammunity.org/2023/formulas/mathematics/college/ls32ruf1v3124dbvpdjwtvawx4f00qufh7.png)
Solving this final multiplication we get the result:
![512](https://img.qammunity.org/2023/formulas/mathematics/college/mu66zcz7m67cvodgv8lpgptwh7xa3yxrjj.png)
Answer: 512