I am using the Eigen library. I want to transform each element in a vector to some constant to the power of the corresponding element from the vector. Example:

int c = 3;
Vector<int, 3> v = { 1, 2, 3 }
v = pow(v, 5);   // < pseudocode
std::cout << v;

Desired output:

 3  9 27

Explanation: {c^1, c^2, c^3} = {3^1, 3^2, 3^3} = {3, 9, 27}