Question

How do you simplify `root6(256)`?

Answer 1

`root(6)(256)=2root(3)(2)`

Explanation:

`2^6 = 64`

therefore
`root(6)(256) = root(6)(2^6) * root(6)(4)`

`color(white)("XXX")=2 * root(6)(2^2)`

`color(white)("XXX")=2 * root(3)(2)`