Yes.
Noun. A person can have impudence. It does not describe a noun; which is what an adjective does. In THAT case, the adjective would be impudent.
The noun form for the adjective impudent is impudence.
Impudence is in the compound word family.
confidence
Modestness
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The word impudent is an adjective; an adjective doesn't have singular and plural forms. An adjective can be used to describe a singular or plural noun, for example:an impudent studentmany impudent studentsThe noun form for the adjective impudent is impudence, an uncountable noun (singular only).
bequeath:bestowed::impudence: insolence
She thought so highly of herself, and so little of the student body, that she had the impudence to nominate herself in a leadership role she had no business seeking.
Impudence is having the quality of being offensively bold. It can also be used to describe offensively bold behavior. Also describes insolent or impertinent behavior.
disrespect, impudence, incivility, rudeness, hardiness
The abstract noun that describes the quality of being extremely cheeky is "impudence." This term encapsulates a boldness or shamelessness that is often associated with cheeky behavior. Another related term could be "impertinence," which also conveys a sense of disrespectful or cheeky audacity.