Puissance is not commonly used; 'power' or 'strength' are more frequent. While 'puissance' sounded elegant, her speech mostly used 'power' for simplicity.
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Formal contexts
Puissance is often used in formal or literary contexts to sound more sophisticated. The puissance of the ancient empire was unmatched.
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Abstract concept
Puissance can refer to non-physical strength, such as political or economic influence. The country's puissance grew as its economy expanded.