Question

How do you find the quotient of `-10d^4e^3f^5-:15d^2e^2f`?

Answer 1

Foolproof method is to factorize cleverly:

Explanation:

`=(-10d^4e^3f^5)/(15d^2e^2f)`

`=(-2*5)/(3*5)xxd^4/d^2xxe^3/e^2xxf^5/f`

`=-(2*cancel5)/(3*cancel5)xx(cancel(d^2)*d^2)/cancel(d^2)xx(cancel(e^2)*e)/cancel(e^2)xx(cancelf*f^4)/cancelf`

`=-2/3 d^2ef^4`