looping to define a sequence of functions?

[r.e.s.]

Suppose we want to define ten functions such that the
nth function of x simply returns x**n. Is there a way 
to avoid explicitly writing ten function def's? (They 
have to be ten distinct functions, not just a single 
one like def f(n,x): return x**n.)
 
E.g., the following doesn't work:

f = {}
for n in range(10):
    def f[n](x):
        return x**n

Thanks.
--
r.e.s.