Question

What is -324m divided by 9m ^4 ?

Answer 1

Given:

`(-324m)/(9m^4)`

To solve this division, divide 324 by 9 and m by m⁴.

To divide m by m⁴, use the definition below:

`(a^n)/(a^m)=a^(n-m)`

Then,

`\begin{gathered} (-324m)/(9m^4)=-36m^(1-4) \\ =-36m^(-3) \end{gathered}`

Using the definition:

`a*b^(-n)=(a)/(b^n)`

Then,

`-(36)/(m^3)`

Answer:

`-(36)/(m^3)`