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To find \( 27^{43} \), we can express it as \( (3^3)^{43} \), which simplifies to \( 3^{3 \times 43} = 3^{129} \).
However, since the options given (4, 81, 108, 12) seem to not match possible values of \( 27^{43} \) directly, it could be that the question is referring to something else or that there's a misunderstanding.
If the question is asking for \( 27^{1/3} \) or something different, please provide clarification. But if you are looking for \( 27^{43} \), it does not reduce to any of the provided options.
Could you please specify what exactly you want to compute with \( 27^{43} \) or its roots?