Question

How do you simplify `(y^(1/6))^3`?

Answer 1

`y^(1/2`

Explanation:

If we consider that when an index is raised to another index we multiply the two together, such that:

`(x^a)^b=x^(ab)`

Therefore, we can structure your given question like this:
`y^(3xx1/6`

`=y^(3/6)`

Simplifying the index, we get:

`y^(1/2`