0
As a collectible, it would depend on the condition of the bill.
As a matter of foreign exchange, approximately zero.
The drachma is no longer in use, having been replaced by the Euro in 2002 (at a rate of 340.75 drachmas = 1 Euro). As of May 13, 2011, the Euro is worth US$1.4140. This implies that the exchange rate of 10 drachmas would be US$0.041496, or about 4 cents.
However, that refers to the third modern drachma, in place since about 1954, replacing the second modern drachma at 1000 to 1. The second modern drachma, meanwhile, had replaced the first modern drachma at a rate of 50,000,000,000 to 1 in 1944 (there was some fairly severe hyper-inflation in Greece during World War II).
Thus 10 1940-era drachmas would have an exchange rate (if they were still in fact exchangable, which they're not) value of 0.041496/1000/50000000000, which equals US$0.00000000000000082993397, or about 83 quadrillionths of a US cent ( a "quadrillionth" is a millionth of a billionth).
As I said, approximately zero.
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