Real Numbers to Complex?!

Algebra Level 2

Nest wrote a series of \(x\)'s in the fractional exponents He knows that if \(x\) is a non-zero real number, then the equation on the right exists on the system of real numbers.

However, he thinks that it can also be a non-real complex number with \(x\) being non-zero real number. Is it possible for this to happen?

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