Impotence rhymes with:
incompetence, incompetence, omnipotence, capacitance, incompetence, inheritance, omnipotence, acceptance, acquaintance, admittance, assistance, capacitance, coexistence, consistence, constance, distance, existence, importance, inadvertence, incompetence, inductance, inheritance, insistence, instance, omnipotence, outdistance, persistence, pittance, quaintance, reluctance, remittance, repentance, resistance, resistence, self-subsistence, sentence, subsistence, substance
Impotence sounds like:
impatience, impatiens, impedance, impeding, ineptness, infatuating, inhabiting, inhibiting, inhibitions, innovating, innovations, invading, invitations, inviting