Final answer:
The fill-in-the-blank question regarding the Inca Empire is correctly answered with 'governors' and 'autonomy' to describe the delegated administrative powers within provinces.
Step-by-step explanation:
The correct answer to the fill-in-the-blank question is "The governors of each quarter were granted full autonomy from the Sapa Inca." This illustrates the administrative structure of the Inca Empire where local governors, often called 'corregidores' in Spanish colonial administrative terms, or similar officials within a provincial hierarchy were given certain levels of autonomy to manage daily affairs in their respective regions under a centralized empire. These officials reported to the Sapa Inca, the emperor, but were responsible for local governance, which includes levying taxes, managing infrastructure, and maintaining order. The Inca Empire was known for its integration of conquered peoples while still allowing for some measure of local control and respecting local customs, which is reflected in the relative autonomy granted to their provincial governors.