A problem by Chitsanupong Wiwatwithayakul

Level pending

If (2\(\sqrt{3}\)-2\(\sqrt{3}\)i)\(^{12}\) = \(-2^{k}\) \(\times\) \(3^{n}\) + \(m^{b}\)i then what is the value of \(\frac{k}{n}\) - m

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