Which country has the US exported its inflation to? Venezuela? Apologies for the tongue-in-cheek but even an economist would not be able to reconcile why there isn't really any inflation amongst the major economies.
The inflation if visible in asset prices, eg. a painting would sell for half a billion dollar, all these companies being evaluated at billions of dollars, now holding billions of $ as state reserve doesn't look so big anymore.
Unless those billions in asset price increases buy less consumables than they did before QE, there isn't any inflation in the US yet, it just means Americans are richer.