A common base amp has low input impedance, high output impedance and voltage gain, but no power gain.
A common emitter amp has a relatively high input impedance, high output impedance, and can have both voltage and power gain.
Common emitter amps (also known as an emitter-follower) have a high input impedance and low output impedance. The voltage gain is slightly less than one (usually 0.9__), but it has current and power gain. It is used to buffer high impedance sources to low impedance loads.
Phew, what a good review of first semester.