What is the solution for (1-i)^n = -512 - 512i?

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Homework Help Overview

The problem involves solving the equation (1-i)^n = -512 - 512i, which is situated within the context of complex numbers and exponentiation.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Some participants express their thoughts on potential values for n, with one suggesting n = 19. Others reflect on the simplicity of the problem, referencing the relationship between powers of √2 and the numbers involved.

Discussion Status

The discussion appears to be ongoing, with participants sharing their opinions on the problem's difficulty and appropriateness for the Homework Help section. There are indications of irritation regarding the posting habits of one participant, suggesting a divergence in focus within the thread.

Contextual Notes

There are mentions of guidelines regarding original effort in homework questions, indicating that the nature of the problem may be under scrutiny in terms of its appropriateness for this forum section.

mathwizarddud
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Solve [tex](1-i)^n = -512 - 512i[/tex] for n.
:wink:
 
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mathwizarddud said:
Solve [tex](1-i)^n = -512 - 512i[/tex] for n.
:wink:

as in you need help with it? Or a problem for us to do?

Anyhow...it looks relatively simple.
 
I'm thinking n = 19
 
Even I can do that one.
 
The fact that [itex](\sqrt{2})^10= 512[/itex] makes that pretty trivial.
 
mathwizarddud said:
Solve [tex](1-i)^n = -512 - 512i[/tex] for n.
:wink:
What is the point of this thread?
 
mathwizarddud, many of us seem to be slightly irritated you constantly post these problems here in the *Homework Help* section. You may think these problems are interesting, and I'm sure they interest some other people as well, but please, post these in the general math section, all under a single thread, named something obvious like "Simple Math Problems" or alike.
 
Gib Z, whether or not the question is a real homework question is irrelevant. If it's a standard textbook question, it belongs in the HW forums, and the OP is required to show original effort. Otherwise the Math forums just become a backdoor to avoiding our Guidelines for homework.
 

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