  We extend the methods of Yennie, Frautschi and Suura to QCD for the summation
of soft gluon effects in which infrared singularities are cancelled to all
orders in $\alpha_s$. An explicit formula for the respective \rngp improved
exponentiated cross section is obtained for $q+\bbar{{q'}}\to q+\bbar{{q'}}+
n(G)$ at SSC energies. Possible applications are discussed.
