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What is the formula to find a specific root of unity? Also, what does a primitive root of unity mean?

I know that $\zeta_5^5=1$ (5th root of unity), but how would I find $\zeta_5^2$? (the second 5th-root of unity)?

I'm just trying to grasp the concept. Any help would be appreciated. Thank you in advance!

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    Have you tried to use the polar representation, $re^{i\theta},$ for a complex number? Try thinking about what $1$ is in polar form.2012-04-24
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    Did you read [Wikipedia](http://en.wikipedia.org/wiki/Root_of_unity)?2012-04-24
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    Yes...it didn't really give an explicit formula2012-04-24
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    @dylan, it does if you care to read all lot it.2012-04-24

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