Real powers via the exponential form

Real powers via the exponential form

IB Year 6 | Grade 12

Given that \(z=\left(\sqrt{3}+i\right)^m\) is a real number, find the values of \(m\), where \(m\in\mathbb{Z}^{+}\).

Solution:

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Answer:\(m=6k,\ k\in\mathbb{Z}^{+}\)

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