Understanding I^(-i) and How to Solve for It

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The discussion revolves around solving the expression I^(-i) and understanding its calculation. The user seeks clarification on how to arrive at the answer of approximately 4.81047738. Key steps include rewriting the imaginary unit i in polar form using Euler's equation, specifically e^(i.pi/2). The conversation highlights the collaborative effort in breaking down the problem and applying mathematical principles. Ultimately, the user successfully grasps the solution with assistance.
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Really struggling with this question on my homework, can anybody help out? According to google the answer is 4.81047738 but I need to know how to get there.

Thanks for your help,
Pete.
 
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Can you rewrite i in polar form using Euler's equation?
 
e^(i.pi/2)?

I feel I'm getting close with some work I've done on paper.
 
You're done. Now put that in for i (the base).
 
Excellent, I've got it.

Thanks for your help neutrino
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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