# How do you simplify #root3(y^6)/(root3(27y)*root3(y^11))#?

##### 1 Answer

#### Explanation:

Because all the terms are cube rooted (and the expression contains no addition or subtraction), the cube root can be moved to the outside of the expression:

We can simplify the denominator using the fact that

Both terms in the denominator are

We can now divide the top and the bottom of the fraction by

For the denominator we use

So the expression becomes:

The cube root of

Therefore the expression fully simplifies to: