Final answer:
To estimate the original amount of carbon-14 in the artifact, we can use the formula: Original amount = Current amount / (1/2)^(Number of half-lives).
Step-by-step explanation:
The question is about the estimation of the original amount of carbon-14 in an artifact based on the given amount of carbon-14 and its half-life. To estimate the original amount of carbon-14, we can use the formula:
Original amount = Current amount / (1/2)^(Number of half-lives)
Plugging in the given values, we get:
Original amount = 8.42X10⁻¹⁵ grams / (1/2)^(Number of half-lives)
The estimated original amount of carbon-14 is 5.81X10⁻¹³ grams.