The first step for solving this expression is to write the division as a fraction.
[tex] \frac{-4m^{9}+2 m^{7} -14 m^{6} }{2} [/tex] × m³
Factor out 2 from the numerator (top) of the fraction.
[tex] \frac{2(-2 m^{9} + m^{7}-7 m^{6} ) }{2} [/tex] × m³
Reduce the fraction with 2.
(-2[tex] m^{9}[/tex] + [tex] m^{7} [/tex] - 7[tex] m^{6} [/tex])m³
Lastly,, distribute m³ through the parenthesis to get your final answer.
-2[tex]m^{12} [/tex] + [tex] m^{10}[/tex] - 7[tex] m^{9} [/tex]
Let me know if you have any further questions.
:)