Eukaryotes have introns, which leads to the possibility of alternate splicing--more than one protein encoded by a single gene--which prokaryotes do not have the chance to do. However, prokaryotes can translate as they transcribe, allowing one part of the Central Dogma to help regulate another, which eukaryotes cannot do. Also, prokaryotes have operons, groups of metabolically related genes which are expressed in a coordinated way on one mRNA, which eukaryotes also lack.
Work Step by Step
Make a list of the possible differences (introns/no introns, operons, etc.) and look at what gives an advantage to which group, such as making coordinated expression of functionally related genes possible.