For @shunyadragon et al -- "Inorganic materials can't be dated using radiocarbon analysis, and the method can be prohibitively expensive. Age is also a problem: Samples that are older than about 40,000 years are extremely difficult to date due to tiny levels of carbon-14. Over 60,000 years old, and they can't be dated at all." How radiocarbon dating helps archaeologists date objects and sites, with carbon-14.
There is attempt by scientists to date anything older then 40,000 years. There are many methods scientists use to date materials older than 40,000 years.