Given:
[tex]\frac{-324m}{9m^4}[/tex]To solve this division, divide 324 by 9 and m by m⁴.
To divide m by m⁴, use the definition below:
[tex]\frac{a^n}{a^m}=a^{n-m}[/tex]Then,
[tex]\begin{gathered} \frac{-324m}{9m^4}=-36m^{1-4} \\ =-36m^{-3} \end{gathered}[/tex]Using the definition:
[tex]a*b^{-n}=\frac{a}{b^n}[/tex]Then,
[tex]-\frac{36}{m^3}[/tex]Answer:
[tex]-\frac{36}{m^3}[/tex]