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: Identify the Half-Life
The half-life of Carbon-14 (\( _6^{14}C \)) is given as 5730 years.

### Step 2: Determine the Total Time
The total time for which we want to calculate the remaining nuclei is 17,190 years.

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