Question

How do you simplify `(-24fg)/(30f^2)`?

Answer 1

`= (-4 g) / (5f)`

Explanation:

`(-24fg)/(30f^2`

`= (-24 * f * g)/(30 * f^2`

`= (-cancel24 /cancel30) * (f / f^2) * g`

`= (-4 /5) * (f / f^2) * g`

• applying property `color(blue)(a^m/a^n = a ^(m-n` to exponents involving `f:`

`= (-4 /5) * f ^ ( 1 -2 ) * g`

`= (-4 /5) * f ^ ( -1 ) * g`

`= -(4 g) / (5f)`