They're not mutually exclusive, but soft power relies on having the appearance of not needing your hard power. Soft power is when you arrive to someone's office dressed up really nice; have a lovely conversation with them over coffee and pastries about what they're going to do this year; and at the end you look at your business companions and casually remark, "I don't even know why I brought these huge, muscled-looking ex-mobsters with me at all."
