To find \( 2^{743} \), we can use the property of exponents and find a way to simplify or calculate that without directly computing such a large number. However, it seems the question might be incorrectly formatted since it's not clear how \( 2^{743} \) relates to the options given (4, 12, 108, 81).
If you're asking for \( 2^{743} \) and not how \( 2^{743} \) relates to the cube root of 27, then the value is much larger than any of the provided options.
Please clarify if you meant something else or if there’s additional context!