The data for the inflation rates and currency exchange rates of the United States, Japan and Brazil over the period 1980-2010 confirm that

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According to the data, the U.S. dollar appreciated against the currency of a country with a relatively higher inflation rate. This is consistent with the theory of purchasing power parity, which states that in the long run, exchange rates will adjust so that the same basket of goods will cost the same amount in different countries. In countries with higher inflation rates, the prices of goods and services will increase faster than in countries with lower inflation rates, leading to a depreciation of that country's currency relative to a country with lower inflation. Therefore, since the U.S. had lower inflation rates compared to Japan and Brazil, the U.S. dollar appreciated against the currencies of those countries.

The Data for the Inflation Rates and Currency Exchange Rates