Would World History have been different if the Chinese decided to explore further and had gone east towards the Americas instead of west still in the Old World or if the Chinese had gone around the tip of Africa and reached the Atlantic Ocean?

Yes world history would have been different.

Explanation: The China Age of exploration lasted for 28 years (1405-1433), and consisted of seven voyages led by the Muslim eunuch named Zheng He. Africa had things the Chinese wanted: ivory medicine, spices, exotic wood and exotic wildlife Beginning in the A.D.

Chinese began extending its power out to sea during the Yuan Dynasty (1271–1368) when Japan and Java was invaded by them. Before that China has established a Maritime Silk Road that carried more goods than the overland Silk Road. According to Columbia University's Asia for Educators.

This shows that if the Chinese had continued their exploration to America or the Atlantic ocean, they would have affected the culture by trading and their technologies.

whose power in the senate is equal to the power of the speaker of the house?

they were byzantines