Question

How do you simplify `\frac { ( 3k ) ^ { 2} m ^ { - 4} } { ( k m ) ^ { - 3} }`?

Answer 1

`(9k^5)/(m`

Explanation:

`((3k)^2m^-4)/((km)^-3)" "larr` remove the bracket, square `3 and k`

`=(9k^2color(blue)(m^-4))/(color(red)((km)^-3))" "larr` apply the law `x^-m= 1/x^m`

`=(9k^2color(red)((km)^3))/color(blue)(m^4)`

`=(9k^2k^3m^3)/(m^4)`

`=(9k^5)/(m`