How do I express (14^1/3)^2 in simplest radical form?

Answer 1

[(14^(1/3)]^2

= 14^(2/3)

= cube root of 14 squared = cube root of 196

= 196^(1/3)

= 196^1/3

use a radical sign with a 3 outside above the left side of the radical sign and 196 inside

= about 5.808

But if you actually meant

[(14^1)/3]^2 then

= (14/3)^2

=(14^2)/3^2

= 196/9

= 21 7/9

= 21.777....

there is no radical form

you probably meant the first answer, especially since you're asking for an answer in radical form