Goldbach-Linnik type problems with unequal powers of primes

In this short paper, it is proved that every sufficiently large even integer is a sum of two squares of primes, two cubes of primes, two fourth powers of primes and 41 powers of 2. Furthermore, there are at least 3.682% odd integers that can be represented as one square of prime, one cube of prime and one fourth power of prime.