Question

How do you simplify `(10^(1/3))^(1/2)`?

Answer 1

The exact value of `(10^(1/3))^(1/2)` is `10^(1/6)` which is the sixth root of 10.

Explanation:

`(a^2)^2` can be rewritten to `a^4`.

If it's hard to imagine, think of it like this:
`(a^2)^2 = (a^2) * (a^2) = a * a * a * a`

Just add up the exponents!
EDIT: I meant multiply them.. oops
`(10^(1/3))^(1/2)` = `10^(1/3 * 1/2)` = `10^(1/6)`