To perform the task without using loops or recursion, you can use C++ standard library functions including `std::iota`, `std::transform`, and `std::accumulate` to replace the loops:
```c
#include <iostream>
#include <numeric>
#include <vector>
#include <cmath>
#include <algorithm>

int powersum(int n, int k)
{
	std::vector<int> powers(n);
	std::iota(powers.begin(), powers.end(), 1);
	std::transform(powers.begin(), powers.end(), powers.begin(), [k](int i) {
	return int(std::pow(double(i), double(k)));
	});
	int sum = std::accumulate(powers.begin(), powers.end(), 0);
	return sum;
}
```

In this example, a vector of integers from 1 to n is created with `std::iota`. Then, the `std::pow` function is applied to every element with `std::transform`. Finally, the powers are summed up with `std::accumulate`.
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