An isotope has a half-life of 105 years. How much of a 44-gram sample is left after 300 years?
The remaining mass is g.
(Type an integer or a decimal. Round to the nearest tenth as needed.)

Step 1 ：Given that the half-life of the isotope is 105 years, we want to find out how much of a 44-gram sample remains after 300 years.

Step 2 ：First, we need to determine how many half-lives have passed in 300 years. We can do this by dividing the total time (300 years) by the length of one half-life (105 years). This gives us \(\frac{300}{105} \approx 2.857142857142857\) half-lives.

Step 3 ：Next, we calculate the remaining amount of the isotope by multiplying the original amount (44 grams) by one-half raised to the power of the number of half-lives that have passed. This gives us \(44 \times \left(\frac{1}{2}\right)^{2.857142857142857} \approx 6.1\) grams.

Step 4 ：Final Answer: The remaining mass of the isotope after 300 years is approximately \(\boxed{6.1}\) grams.