Which statements are true about a perfect cube monomial and its roots? Check all that apply.
A. A perfect cube monomial must have exponents on the variables.

B. A perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial.

C. The coefficient of the monomial must be divisible by 3.

D. Any monomial can be a perfect cube root.

E. The least common multiple of all the exponents on variables of a perfect cube monomial must be 3.

F. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.

It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.

A perfect cube monomial must have exponents on the variables.

We have to determine

Which statements are true about a perfect cube monomial and its roots?

What is a perfect cube monomial?

A perfect cube monomial must have exponents on the variables.

The true statements about a perfect cube monomial and its roots are as follows;

1. A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.

2. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.

3. A perfect cube monomial must have exponents on the variables.

Perfect cubes are the numbers that are obtained when natural numbers are multiplied by themselves twice.

All the perfect cube numbers have a square root equal to a natural number.

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