Which statements are true about a perfect cube monomial and its roots? check all that apply. a perfect cube monomial must have exponents on the variables. a perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial. the coefficient of the monomial must be divisible by 3. any monomial can be a perfect cube root. the least common multiple of all the exponents on variables of a perfect cube monomial must be 3. 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.

The true statements:

- A perfect cube monomial must have exponents on the variables

- The least common multiple of all the exponents on variables of a perfect

 cube monomial must be 3

- 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

Step-by-step explanation:

* Lets explain the perfect cube monomial

- A monomial is a single term that is a product of constants and

 variables, sometimes the variables of a monomial have an exponents

# Ex: 4 q , 25 r² , 27 p³

- Monomials can be identify that are perfect square and perfect cube

# Ex: 16 x² ⇒ perfect square , 125 y³ ⇒ perfect cube

- A perfect cube monomial must have exponents on the variables, which

 is a multiple of 3

# Ex: 8 a³ , 64 b^6 , 27 c^9 ,

- The perfect cube monomial has a perfect cube coefficient

# Ex: 1 , 8 , 27 , 64 , 125 , (numbers that have cube roots)

* Lets solve the problem

# A perfect cube monomial must have exponents on the variables

- True

# A perfect cube monomial must have three identical roots, such

  that the product of the roots equal the perfect square monomial

- False

# The coefficient of the monomial must be divisible by 3

- False

# Any monomial can be a perfect cube root

- False

# The least common multiple of all the exponents on variables of a

   perfect cube monomial must be 3

- True

# 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

- True

A,E,F is the answer for our EDG QUESTION

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