The expression we have is:
[tex]2xy\cdot xy^2[/tex]And we are given some values for x and y:
[tex]\begin{gathered} x=2 \\ y=4 \end{gathered}[/tex]The first step will be to substitute the given values into the expression:
[tex]2(2)(4)\cdot(2)(4)^2[/tex]The next step is to solve 4^2 which is equal to 16:
[tex]2(2)(4)\cdot(2)(16)[/tex]And then we solve the multiplications, 2(2)(4) is equal to 16 and (2)(16) is equal to 32:
[tex]16\cdot32[/tex]Solving this final multiplication we get the result:
[tex]512[/tex]Answer: 512
