Answer:
The value of the quotient is [tex]-\frac{m^{12}n^{6}}{2}[/tex].
Step-by-step explanation:
The given expression is,
[tex]\frac{2m^9n^4}{-4m^{-3}n^{-2}}[/tex]
We have to find the quotient of the given expression.
Use the exponent rule,
[tex]\frac{a^n}{a^m} =a^{n-m}[/tex]
[tex]\frac{2m^9n^4}{-4m^{-3}n^{-2}}=-\frac{m^{9-(-3)}n^{4-(-2)}}{2}[/tex]
[tex]\frac{2m^9n^4}{-4m^{-3}n^{-2}}=-\frac{m^{9+3}n^{4+2}}{2}[/tex]
[tex]\frac{2m^9n^4}{-4m^{-3}n^{-2}}=-\frac{m^{12}n^{6}}{2}[/tex]
Therefore the value of the quotient is [tex]-\frac{m^{12}n^{6}}{2}[/tex].
