Question

How do you write `(9y^6) ^(3/2)` as a radical form?

Answer 1

`(9y^6) ^(3/2)` can be written as `sqrt((9y^6))^3`
It simplifies to `27y^9`

Explanation:

One of the laws of indices states that `x^(p/q) = rootq(x)^p`

(The denominator or the index is the root and the numerator is the power)

`(9y^6) ^(3/2)` can be written as `sqrt((9y^6))^3`

This can be simplified:
`=(3y^3)^3`

=`27y^9`