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Concept

Perfect Cube

A perfect cube is a number that can be expressed as the cube of an integer. In other words, a number is a perfect cube if its cube root is an integer.
Example Rewrite as a Product Perfect Cube? Explanation
Yes is an integer.
No is not an integer.
Yes is an integer.
No is not an integer.
Similarly, if a variable has an exponent that is a multiple of it is still considered a perfect cube. This is because this condition guarantees that the variable can be rewritten as the product of three identical powers with integer exponents.
Exercises