Final answer:
Using an isotope with a half-life of 12,000 years and calculating that the fossils have only 1/256th of the original isotopic amount, we can determine that the Neandertal fossils have undergone 8 half-lives, which equates to an age of 96,000 years.
Step-by-step explanation:
To determine the age of the Neandertal fossils, researchers use radiometric dating techniques involving isotopes with known half-lives. In this case, the researchers are using an isotope with a half-life of 12,000 years. Since the fossils have 1/256th (which is 1/28) of the original isotopic concentration, this indicates that the fossils have undergone 8 half-lives. The age of the fossils can be calculated as follows:
- Half-life of the isotope = 12,000 years
- Number of half-lives (n) = 8
- Total age = Half-life × Number of half-lives (n)
- Total age = 12,000 years × 8 = 96,000 years
Therefore, we can predict that these Neandertal fossils are 96,000 years old.