What is the difference between a perfect square and a perfect cube

A perfect square is a number that is the square of an integer, meaning it is the product of an integer multiplied by itself. For example, 4, 9, and 16 are perfect squares because they are the square of 2, 3, and 4, respectively.

On the other hand, a perfect cube is a number that is the cube of an integer, meaning it is the product of an integer multiplied by itself twice. For example, 8, 27, and 64 are perfect cubes because they are the cube of 2, 3, and 4, respectively.

In summary, the main difference between a perfect square and a perfect cube is the power to which the integer is raised to produce the number. A perfect square is raised to the power of 2, while a perfect cube is raised to the power of 3.