There is no such direct causality. The value of a currency (in the sense of exchange rates and prices of goods) is determined by supply and demand, and nothing else.
People with the mindset of "USD government printing money => value of USD goes down" have been predicting QE-based inflation for years, and they were wrong. When you drop this incorrect mindset and adopt the correct one (supply and demand!) it's easy to see why: QE did not make people richer, so it did not lead to the kind of significant increase of demand that would be required to trigger a rise in inflation.
