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To find \( 27^{43} \) based on the information that the cube root of \( 27 \) is \( 3 \), we can express this differently.
Since \( 27 \) is equal to \( 3^3 \), we can write:
\[
27^{43} = (3^3)^{43}
\]
Using the property of exponents \((a^m)^n = a^{m \cdot n}\), we have:
\[
(3^3)^{43} = 3^{3 \cdot 43} = 3^{129}
\]
Now, we are asked to find \( 27^{43} \), which is equal to \( 3^{129} \).
However, it seems that the options provided (108, 4, 12, 81) do not directly relate to \( 27^{43} \), which is a much larger number.
If you meant to evaluate something simpler like \( 27^3 \) or another operation instead of \( 27^{43} \), please clarify. Otherwise, \( 27^{43} \) is a very large number beyond the choices given in the responses.