Need some help on this. ^4sqrt((2/3))

Question

unknownrandom · Answer

Here is a pic of the problem.

anonymous · Answer

$$\sqrt[4]{\frac{2}{3}}$$ what are you supposed to do with it?

unknownrandom · Answer

Simplify

anonymous · Answer

there is no such mathematical operation as "simplify"
perhaps you are supposed to get the fraction out of the radical?  rationalize the denominator?

unknownrandom · Answer

Yes

anonymous · Answer

then multiply top and bottom by $\sqrt[4]{3^3}=\sqrt[4]{27}$

anonymous · Answer

that way the denominator will be $\sqrt[4]{3^4}=3$

anonymous · Answer

and the final answer will be 
$$\frac{\sqrt[4]{54}}{3}$$
tell your math teacher this is "simplest radical form" or "rationalize the denominator" not "simplify"

unknownrandom · Answer

Thanks. I'm still confused on why you multiply by those numbers?

anonymous · Answer

you multiply by that number because that is the number of the denominator.  when you multiply a radical by itself you no longer have a radical, you just have the number of the radical which is called rationalized