A **perfect power** is a positive integer that can be expressed in the form \( n = a^k \), where \( a \) is a positive integer and \( k \) is an integer greater than 1. In other words, a number is a perfect power if it can be represented as an integer raised to an integer power greater than one. For example: - \( 4 \) is a perfect power because \( 4 = 2^2 \).
