Question 85278
{{{4d^9m^6*10d^9m^6 / 2d^9m^9}}}


{{{4*10d^9*d^9m^6*m^6 / 2d^9m^9}}} Group like terms


{{{40d^(9+9)m^(6+6) / 2d^9m^9}}}Multiply 10 and 4 to get 40. When you multiply something like {{{d^9}}} and {{{d^9}}} you add the exponents.


{{{40d^18m^12 / 2d^9m^9}}} Add the exponents


{{{20d^18m^12 / d^9m^9}}} Divide 40 and 2 to get 20


{{{20d^(18-9)m^(12-9)}}} When you divide something like {{{d^18}}} and {{{d^9}}} you subtract the exponents.


{{{20d^9m^3}}}Subtract the exponents