how to evaluate roots of (1)^(1/8)

Question

zzr0ck3r · Answer

$1^x=1$ for any number $x$

zepdrix · Answer

8th roots of unity?
You can use them complex number shinanigans and De'Moivre's Theorem to help you out.

zzr0ck3r · Answer

Sorry, assumed real...

zepdrix · Answer

$$\large\rm 1=e^{0+2k \pi i}$$$$\large\rm 1^{1/8}=e^{\frac{2k \pi i}{8}}=e^{\frac{k \pi i}{4}}$$Consider the fist 8 integer values of k, starting from 0: k=0,1,2,3,4,5,6,7.
These will give us all our unique 8th roots of 1.
$\large\rm e^{0}=1$
$\large\rm e^{\pi i/4}$
I guess you'll have to convert to sines and cosines to simplify some of these roots :)

zepdrix · Answer

I can go into more detail if you need,
looks like you went offline for now though :D