Question

How do you simplify `frac { ( 3n ^ { 3} ) ^ { 3} } { ( 5n ^ { 7} ) ^ { 2} }`?

Answer 1

`27/(25n^5)`

Explanation:

`(3n^3)^3/(5n^7)^2`

`=(3^3*(n^3)^3)/(5^2*(n^7)^2)`

`=(27n^(3*3))/(25*n^(7*2))`

`=(27n^9)/(25n^14)`

`=27/(25n^5)`