help with list

[perfringo]

You created empty list. Therefore index is out of range:

>>> luck = list()
>>> len(luck)
0
>>> luck[0]
/..../
IndexError: list index out of range

You should use append.

You also ask two times for input for both a and b.

One way of writing this code:

>>> a = int(input("Give number a: "))
>>> b = int(input("Give number b: "))
>>> luck = list()
for i in range(b):
...    luck.append(a**b)

Of course, if task is [a^0,a^1,a^2,...,a^b] then one should append (a**i)