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What is the significance of the battle of Bunker Hill? The British army showed its superior power. It showed the determination of the outnumbered American forces. American forces could not recover from the defeat.



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Gibbs
The significance of the Battle of Bunker Hill was that it showed the determination of the outnumbered American forces. Although the colonial forces were defeated their ability to inflict damages and heavy losses on the British was an important factor in increasing the support for the colonists military efforts. 
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Answer:

It showed the determination of the outnumbered American forces.