You work hard.

In this sentence, 'work' is the form of the present tense. We use the base form of a verb for the form of the present tense verb.

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Is my explanation above grammatical?

Which one is right, base verb or basic verb?

Yes, it's 100% correct!

=)

Your explanation above is grammatical. However, regarding your second question, the correct term to use is "base verb," not "basic verb."

To clarify, the base form of a verb, also known as the "infinitive," is the form of the verb that is used without any conjugation or modification. For example, the base form of the verb "work" is "to work." In the sentence you provided, "work" is used as a base verb because it is in the bare form without any additional endings or changes.