Question

How do you simplify `(m^7n^2)/(m^4n^6)`?

Answer 1

`= color(blue)(m^3n^-4`

Explanation:

`(m^7n^2)/(m^4n^6)`

Note: `color(blue)(a^m/a^n = a^(m-n)`
Applying the above to the exponents of `m` and `n`

`=m^color(blue)((7-4)) . n^color(blue)((2-6)`
`= color(blue)(m^3n^-4`