The 
th
exterior power of an element 
in an exterior algebra 
is given by the wedge
product of 
with itself 
times. Note that if 
has odd degree, then any higher power of 
must be zero. The situation for even degree forms is different.
For example, if
 |
(1)
|
then
 |  |  |
(2)
|
 |  |  |
(3)
|
 |  |  |
(4)
|
