Not printed on this postcard, but there is a film about this famous meeting which is of interest. Here is a description of that film:
Elvis Meets Nixon is a 1997 film purporting to tell the true story of Elvis Presley meeting then-President Richard Nixon on December 21, 1970.
Plot: Elvis Presley, bored with his confined existence in Graceland, leaves his home on his own for the first time since he was 21. He winds up in California and is convinced by an antiwar activist that he is responsible for the drug culture through his influence on The Beatles. This convinces Elvis to write a letter to President Nixon asking to be made a Federal Agent at Large for the Bureau of Narcotics and Dangerous Drugs. This turns out to not be possible, but Nixon, wanting desperately to win over the youth of America, which he views as hating him, decides to meet with Elvis in an attempt to improve his image with the "kids". This meeting was kept secret until Jan. 27, 1972, when the Washington Post broke the story.
This image of Elvis Meeting Nixon is the most requested photo in the National Archives. A quick search on the internet will reveal many other sites with details about the Elvis & Nixon meeting.