Adverb
In an impudent manner; with unbecoming assurance; shamelessly.
Source: Webster's dictionaryWe are all capable of believing things which we know to be untrue, and then, when we are finally proved wrong, impudently twisting the facts so as to show that we were right. George Orwell
Pray tell me, does your time lie so heavy upon you in your world that you do not know how to bestow it better than in thus impudently talking, disputing, and writing of our sovereign lady? François Rabelais
a lean, swarthy fellow was peering through the window, grinning impudently Source: Internet