Final answer:
The Boxer Rebellion signaled to the European powers that the Chinese people were strongly opposed to foreign control, which deterred them from breaking up China into European-controlled colonies. The international coalition formed to suppress the rebellion further demonstrated the united front against any attempt to colonize China.
Step-by-step explanation:
The Boxer Rebellion in China, which took place in the summer of 1900, had a significant impact on the powers' decision not to break up China into European-controlled colonies. The rebellion was a nationalist uprising against foreign influence in China. It signaled to the European powers that the Chinese people were strongly opposed to foreign control, and any attempt to colonize China would face strong resistance.
The international coalition that was formed to suppress the Boxer Rebellion included powers like Japan, Russia, Britain, Germany, and the United States. This alliance demonstrated the united front against the rebellion and the perceived threat to their interests in China. Ultimately, the defeat of the Boxers strengthened the resolve of the powers to maintain China's unity and prevent further colonization.