Question

How do you simplify `\frac { 12m ^ { 4} n ^ { 6} k } { 16m ^ { 7} n ^ { 7} }`?

Answer 1

`color(green)((3k)/(4m^3n)`

Explanation:

Given
`color(white)("XXX")(12m^4n^6k)/(16m^7n^7)`

Separate into like terms:
`color(white)("XXX")12/16 * (m^4)/(m^7) * (n^6)/(n^7) *k`

Reduce each term:
`color(white)("XXX")3/4 * 1/(m^3) * 1/(n^1) * k`

Re-write in common form:
`color(white)("XXX")(3k)/(4m^3n)`