Question

How do you simplify `(28m^4n^6)/(4mn^-2p^-2)`?

Answer 1

Group common factors and convert factor with negative exponents into their multiplicative inverses.

Explanation:

`(28m^4n^6)/(4mn^(-2)p^(-2))`
`color(white)("XXXX")` `= 28/4 * m^4/m * n^6/n^(-2) * 1/p^(-2)`

`color(white)("XXXX")` `= 7 * m^3 * (n^6 * n^2) * p^2`

`color(white)("XXXX")` `= 7m^3n^8p^2`