Respuesta :

Answer:

Option (a) is correct.

[tex]1x^3[/tex] is a perfect cube.

Step-by-step explanation:

 Given : Some Monomial

We have to choose out of given monomial that is a perfect cube.

Perfect cubes are numbers that can be written as [tex](ab)^3[/tex]

So, consider [tex]1x^3[/tex] , we know 1 can be written as [tex]1^3[/tex]

Thus,  [tex]1x^3[/tex] can be written as  [tex]1^3x^3=(1x)^3[/tex]

Thus, Option (a) is correct.

Answer:

Option A is correct

[tex]1x^3[/tex]

Step-by-step explanation:

Perfect cube is a number that is the cube of any integer number.

For example:

[tex]7^3 = 343[/tex]

[tex](ab)^3 = a^3b^3[/tex]

From the given options we have to find which monomial is a perfect cube.

Consider the  monomial [tex]1x^3[/tex].

We can write 1 as:

[tex]1 = 1 \cdot 1 \cdot 1 = 1^3[/tex]

It can be written as:

[tex]1x^3 = 1^3 \cdot x^3 = (1x)^3[/tex]

Therefore,  [tex]1x^3[/tex] monomial is a perfect cube