Which expression represents in radical form?2 times x to the 5 sixths power

Question

zehanz · Answer

If you want to know what is $$2*x^{\frac{ 5 }{ 6 } }$$ in radical form, you must know what the meaning is of the fractioned exponent, 5/6.

It is defined as follows:$$x ^{\frac{ a }{ b }}:=\sqrt[b]{x^a}=\left( \sqrt[b]{x} \right)^a$$So the denominator of a/b  (=b) is associated with the b-th root, the nominator (a) with the a-th power. 
Normally, the number x is supposed to be nonnegative. This means that the order of calculation does not matter.

Now try to do this for your problem.

anonymous · Answer

does that mean i have to switch it? the 5&6 @ZeHanz

anonymous · Answer

is it (2*x)the power 5/6

anonymous · Answer

yes at @gomathi

zehanz · Answer

I don't think you have to switch it, I would write it as (if gomathi is right)
$$\sqrt[6]{(2x)^5}=\sqrt[6]{32x^5}$$

anonymous · Answer

32x5 so thats the answer @ZeHanz ?

zehanz · Answer

No, that would just be 32x5=160.
The answer is $$\sqrt[6]{32x^5}$$

anonymous · Answer

yes 2 is also affected by the radical