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But what if the degree of the root (or power) is irrational?

For example;

[itex]-64 ^ \frac{1}{2} \, = \, j8 \,\,\,\,\, (imaginary)[/itex]

[itex]-64 ^ \frac{1}{3} \, = \, -4 \,\,\,\,\, (real)[/itex]

But what about:

[itex]+7^{\pi - 3} \, = \, 7^{0.14159265...}[/itex]

Is it real, imaginary or complex?