<P> If z is a rational number m / n in lowest terms with z> 0, then the countably infinitely many choices of log w yield only n different values for w; these values are the n complex solutions s to the equation s = w . </P> <P> If z is an irrational number, then the countably infinitely many choices of log w lead to infinitely many distinct values for w . </P> <P> The computation of complex powers is facilitated by converting the base w to polar form, as described in detail below . </P> <P> A similar construction is employed in quaternions . </P>

What is the value of x in the product of powers below