Read the post first, then look at the graphs - https://picasaweb.google.com/104328...ey=Gv1sRgCIe1gv_A_bT__wE#5621389108478505394"(adsbygoogle = window.adsbygoogle || []).push({});

Well this is the question...and I don't understand it very well :

Suppose you know that x raised to the fifth power is 1. What can you say about x's absolute value? (remember that the absolute value of a product is the product of the absolute values of its factors.) What can you say about x's angle? (remember that the angle of a product is the sum of the angles of its factors.)

This is what I based my first graph on :

the 1st statement means : x^{5 }= 1 ....right?

2nd : well I can say it's absolute value is 1 since the power is odd, and therefore, |x| = 1. But I didn't do any product of factors (what factors?!?! ...do they mean 1*1*1*1*1?). I mean I don't get what they're asking AT ALL!!

3rd : well the graph shows a zero degree angle. and we can also get 0 by doing

(imaginary number part/real number part) = (0/1) = 0. but again here, what factors are they talking about?

Now, this is about complex numbers right?? So that's what made me do the second graph, although i don't see it as correct at all, since it would be (x+i)^{5}. Well, I basically did some rubbish here. I'm not sure what even made me do it.

This has really been killing me. I know it's probably really really simple. But I feel like such a fool for not even understanding a bit of the question

PLEASE HELP ME

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# Complex Number Graph : x^5 = 1

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