Question

Which statements are true about a perfect cube monomial and its roots? Check all that apply.

1. A perfect cube monomial must have exponents on the variables.
2. A perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial.
3. The coefficient of the monomial must be divisible by 3.
4. Any monomial can be a perfect cube root.
5. The least common multiple of all the exponents on variables of a perfect cube monomial must be 3.
6. 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.

pls help

Answer 1

The answers are 1(A), 4(D), and F (6)

Explanation:

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

TRUE

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

FALSE

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

FALSE

4. Any monomial can be a perfect cube root.

TRUE

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

FALSE

6. 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

Hope this helps!

Answer 2

A, D, F

Explanation:

A, D, F

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