Question

How do you simplify `( -8m^2 n^-5)/(4m^-5 n^-2)` leaving only positive exponents?

Answer 1

`= -2 m^(7) / n^(3)`

Explanation:

`( -8m^2 n^-5)/(4m^-5 n^-2)`

`= -8/4 ( m^2 n^-5)/(m^-5 n^-2)`

`= -2 ( m^(2- (-5)) n^(-5- (- 2)))`

`= -2 ( m^(7) n^(-3))`
`= -2 m^(7) / n^(3)`