What is the simplified form of -24m^5 n^4/ 8m^-7 n^-2

  -3·m^12·n^6

Step-by-step explanation:

We assume you intend ...

  (-24·m^5·n^4)/(8·m^-7·n^-2)

  = (-24/8)·m^(5-(-7))·n^(4-(-2))

  = -3·m^12·n^6

If you really intend what you have written, then it simplifies to ...

  (-24·m^5·n^4/8)·m^-7·n^-2 . . . . . note that all factors involving m and n are in the numerator

  = (-24/8)·m^(5-7)·n^(4-2) = -3n^2/m^2