The isotope `._6^(14)C` is radioactive and has a half-life of 5730 years . If you starts with a sample of `1000` carbon `-14` niclei, how many will still be around in `17,190 years`?

Explanation

To solve the problem of how many carbon-14 nuclei will remain after 17,190 years, we can follow these steps:

### Step 1: Understand Half-Life
The half-life of a radioactive isotope is the time required for half of the radioactive nuclei in a sample to decay. For carbon-14, the half-life is given as 5730 years.

### Step 2: Determine the Number of Half-Lives
To find out how many half-lives fit into the total time of 17,190 years, we divide the total time by the half-life:
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