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kudzordzifrancis
ANSWER


[tex]27 \times 8[/tex]

EXPLANATION


A perfect cube is a number that can be written in the form

[tex] {x}^{3} [/tex]


Let us use prime factorization to check which of the options is a perfect cube.



[tex]16 \times 6 = {2}^{4} \times 2 \times 3 = {2}^{5} \times 3[/tex]


This is not a perfect cube.





[tex]27 \times 8 = {3}^{3} \times {2}^{3} = {(2 \times 3)}^{3} = {6}^{3} [/tex]


This is a perfect cube.




[tex]32 \times 12 = {2}^{5} \times {2}^{2} \times 3 = {2}^{7} \times 3[/tex]


Not a perfect cube.



[tex]64 \times 6 = {2}^{6} \times 2 \times 3 = {2}^{7} \times 3[/tex]

This is also not a perfect cube.



The correct answer is B.
abidemiokin

The monomial that is a perfect cube is 64x^6

What are perfect cubes?

Perfect cubes are expressed as a³ that is any value or function to the power of 3

According to the questions, we need to determine which of the expression is perfect cube

The correct expression is 64x^6

64x^6 = (4x²)³

where a serves as 4x². Hence the monomial that is a perfect cube is 64x^6

Learn more on perfect cubes here: https://brainly.com/question/13161078

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