Answer:

Step-by-step explanation:
Hello,
In this case, since the result of the operation between two magnitudes is shown with the same significant figures of the shortest number, we obtain:
![1.012x10^(-3) J/[(0.015456 g)(298.3682-298.3567)]K](https://img.qammunity.org/2021/formulas/chemistry/college/qpr4zxsri951vse8hhnbvhqxxo2we932dm.png)
Next, we proceed as follows:
![=0.065476J/[(g)(20.0115K)]\\\\=5.693582(J)/(g*K)](https://img.qammunity.org/2021/formulas/chemistry/college/ew3yulga2k9kqxgmbdwer8fpjmk4ihs3w0.png)
Nevertheless, since 1.012 is the shortest number and has four significant figures, the result is rounded to four significant figures, that is until the three but it rounded due to the fact that the next digit is five:

Regards.