Answer:
by supporting scientists and architects.
Step-by-step explanation:
The Medici gained their fame due to their strong influence in Italian Banking. In 15th century, the Medici was regarded as the largest bank in Europe,
At that time, Italy was under strong influence of the Catholic church. the church tend to see scientists as some sort of heretics that do not believe in the teaching of Gods.
Despite this situation, the Medici believed that the scientists were an integral part of Florence and put on a lot of money to support them in wife variety of research. On top of that, the Medici also became a well known patrons for talented artists and architects. This is how the Medici Renaissance ideas develop in the city of Florence.