The monomial is a perfect cube is [tex]\rm 343p^6q^{21}r^6[/tex].
Perfect cubes are the numbers that are the triple product of the same number.
We have to determine
Which monomial is a perfect cube?
A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.
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.
Then
The monomial is a perfect cube is;
[tex]\rm= 343p^6q^{21}r^6\\\\= \sqrt[3]{ 343 }= 7[/tex]
Hence, the monomial is a perfect cube is [tex]\rm 343p^6q^{21}r^6[/tex].
[tex]\rm[/tex]To know more about Monomial click the link is given below.
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