The correct answers are:
- centralized power;
- imposed Islam as the state religion;
- relied on a strong military;
The two rival Muslim empires, the Ottoman Empire and the Safavid Empire, apart from having some differences, actually had numerous similarities. Both of them imposed the Islam as a state religion, despite having whole regions that were not inhabited bu Muslims. Both of them also had centralized power, where the Sultan, in the Ottoman Empire, and the Shah, in the Safavid Empire, had an absolute power. In order to increase their territory, and more importantly keep the territory they have and have proper control over it, both empires heavily relied on the large and strong military.