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How do we know that C14 decay is exponential and not linear?

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In my previous question I asked Please explain C14 half-life The OP mentioned that I was thinking of linear decay and C14 was measured in exponential decay.

As I understand it, C14 is always in a state of decay. If we know the exact rate of decay then shouldn't it be linear?

How do we know that C14 decay's exponentially compared to linear and have there been any studies to verify this?


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