Question

How do you simplify `[2a^4b]^3/(24b^5)`?

Answer 1

Expand the numerator then (by grouping) simplify the fraction to get
`(a^12)/(3b^2)`

Explanation:

`([2a^4b]^3) / (24b^5)`

`= (8a^12b^3) / (24b^5)`

`= (8/24) * ((a^12)/1) * ((b^3)/(b^5))`

`= (1/3) * ((a^12)/1) * (1/(b^2))`

`= (a^12)/(3b^2)`