The given expression is
[tex]-3x^4y^3\times-2xy^2[/tex]To solve this, we have to multiply the coefficients -3 and -2. Also, we have to multiple each power with its common. Remember that the product of two common powers is solved by adding their exponents.
[tex]\begin{gathered} (-3\times-2)(x^4xy^3y^2) \\ 6x^{4+1}y^{3+2} \\ 6x^5y^5 \end{gathered}[/tex]