Question

How do you simplify `root8((a^16)^-5)`?

Answer 1

`1/a^10`

Explanation:

Let's start under the root and remove the bracket by multiplying the indices (power to a power law)

`root(8)(a^-80)`

A negative index can be made positive by taking the reciprocal.

Now we have: `1/(root(8)(a^80))`

Find a root by dividing the index by the root

`1/a^10`