How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal of the positive exponent?

the father plays a very vital role in the life of the narrator in the story. the father is that person who may be physically absent but is also the one who just existed in the mind or the memory of the narrator. in the mind of the storyteller, his father during the time he was with their family was dutiful, orderly and straightforward. but when the narrator was asked who has always the final say, it would always be the mother. it is because of the father’s departure that made the authority of the mother waive and became questionable. the father’s leaving really made a big impact in his family’s lives. the father never set foot on land and he was more towards the lonely nature because as the story said he never acknowledged the existence of his family after his departure but it is implied to the reader that the reason why the father stayed and rowed nearby to maintain togetherness.