ANSWER
[tex] -18600 {x}^{2} {y}^{7} [/tex]
EXPLANATION
We want to multiply
[tex] - 310xy(60x {y}^{6} )[/tex]
This will give us
[tex] - 310 \times 60 \times x \times x \times y \times {y}^{6} [/tex]
We multiply out to obtain:
[tex] -18600 {x}^{2} {y}^{7} [/tex]
[tex]-18x^{2} y^{7}[/tex]
[tex]\frac{3}{10}xy (60xy^{6} )\\[/tex]
multiply using distribution
[tex]\frac{3}{10} *60*x*x*y*y^{6}[/tex]
resulting in our answer
[tex]-18x^{2} y^{7}[/tex]