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

Aug 25, 2016

y^(1/2

#### Explanation:

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

${\left({x}^{a}\right)}^{b} = {x}^{a b}$

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

$= {y}^{\frac{3}{6}}$

Simplifying the index, we get:

y^(1/2