Question

How do you simplify `\root [ 3] { a ^ { 9} b ^ { 12} }`?

Answer 1

`=a^3b^4`

Explanation:

Use the laws of indices: Divide the index by the root.

`root(3)(a^9b^12)`

`=a^3b^4`

(You can only do this if they are all factors - there may not be a + or -sign under the root sign)