Squaring a combination of powers of the imaginary unit
Squaring a combination of powers of the imaginary unit
IB Year 6 | Grade 12
It is given that \(\left[i^{31}-i^{-22}\right]^2=a+bi\) where \(a,\ b\in\mathbb{R}\). Find the values of \(a\) and \(b\).
Solution:
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Answer:\(a=0,\ b=-2\)
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