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For questions about character levels, the numbered steps used in some RPGs to indicate advancement of character capabilities. The higher a character's level is, the more broadly powerful the character is.

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Is there a mathematical formula to determine how much XP is needed per level?

No, there is no simple formula for level-by-level XP requirements. WOTC has stated that the advancement rate is not constant across all levels. Rather, according to Unearthed Arcana: Three-Pillar Exp …
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