Trying to do it with the least amount of code…

a, b, c, d = map(int, [input() for _ in range(4)])
print(a**b + c**d)

I don't really like using input(), so at first I had the slightly longer…

import sys

a, b, c, d = map(int, sys.stdin.read().split())
print(a**b + c**d)