sqrt(x^3) * (1/sqrt(x^3)) =/= 1



I'd call this a bug:
 
 (%i10) sqrt(x^3) * (1/sqrt(x^3)),domain : real, radexpand : true;
 (%o10) sqrt(x^3)/x^(3/2)

 (%i11) sqrt(x^3) * (1/sqrt(x^3)), domain : real, radexpand : all;
 (%o11) 1

 (%i12) sqrt(x^3) * (1/sqrt(x^3)), domain : complex;
 (%o12) 1

--Barton