The `._(6)C^(14)` and `._(6)C^(12)` ratio in a piece of woods is `1//16` part of atmosphere. Calculate the age of wood. `t_(1//2) "of" C^(14)` is 5577 years?

Explanation

To calculate the age of the wood based on the given ratio of Carbon-14 to Carbon-12, we can follow these steps:

### Step 1: Understand the Ratio
The problem states that the ratio of Carbon-14 to Carbon-12 in the wood is \( \frac{1}{16} \) of the atmospheric ratio. This means that if we denote the initial amount of Carbon-14 as \( N_0 \) and the current amount as \( N \), we have:

\[ \frac{N}{N_0} = \frac{1}{16} \]
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