Can you raise variables to the power of "i"--the imaginary unit--just as you would raise them to the power of a real number?

For example, can I take this equation...

$\displaystyle 1=ax^{2}$

...and do this...

$\displaystyle 1^i=(ax^{2})^i$

...resulting in...

$\displaystyle 1=a^i x^{2i}$

Or is that against the rules?