Prove or Disprove That the Fourth Power of an Odd

question 26

Essay

Prove or disprove that the fourth power of an odd positive integer always leaves a remainder of 1 when divided by 16.

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Definitions:

Contractual Liability

The legal obligations that parties have under a contract, including the consequences of breach.

Principal

The main party to a transaction, acting on their own behalf, such as the owner of a business or the person for whom an agent acts.

Third Party

A third party is an individual or entity who is not directly involved in a legal agreement or dispute but may be affected by it or have rights or obligations related to it.

Improper Person

An individual deemed unsuitable or unqualified under certain criteria or regulations.