  In this paper we compute the Waring rank of any polynomial of the form
F=M_1+...+M_r, where the M_i are pairwise coprime monomials, i.e.,
GCD(M_i,M_j)=1 for i not j. In particular, we determine the Waring rank of any
monomial. As an application we show that certain monomials in three variables
give examples of forms of rank higher than the generic form. As a further
application we produce a sum of power decomposition for any form which is the
sum of pairwise coprime monomials.
