Formal:
* स्वीकृति (sweekruti): This is a general word for acceptance or recognition, often used in official or legal contexts.
* मान्यता (manyaata): This word implies recognizing something as valid or legitimate.
Informal:
* स्वीकार (sweekar): This is a more common word for acknowledging something, particularly in a personal or social setting.
* मानना (manna): This means "to believe" or "to accept", often used in the context of acknowledging someone's opinion or statement.
* ध्यान रखना (dhyaan rakhna): This literally means "to keep in mind" and can be used to acknowledge someone's request or suggestion.
Other possibilities:
* प्रतिज्ञान (pratijnaan): This refers to a formal acknowledgement or promise.
* आभारी (aabhary): This expresses gratitude and can be used to acknowledge someone's help or kindness.
Example:
* "I acknowledge your request." could be translated as:
* "मैं आपका अनुरोध स्वीकार करता हूँ।" (main aapka anurodh sweekar karta hoon)
* "मैं आपके अनुरोध को मानता हूँ।" (main aapke anurodh ko manta hoon)
The best translation depends on the specific context and the nuance you want to convey.