help with list

[sonedap]

input("give number a")
a= int(input())
input("give number b")
b=int(input())
luck = list()
for i in range(0,b):
   luck[i] = a**b
print (luck)

i am getting this mistake:

Error:
File "/home/main.py", line 7, in <module>                                                                                                                                        
    luck[i] = a**b                                                                                                                                                                 
IndexError: list assignment index out of range  

the exercise is given 2 numbers a and b create a list with [a^0,a^1,a^2,...,a^b]

but it is not working