Question

Which monomial is a perfect cube?

Answer 1

Answer:

Option (a) is correct.

$1x^3$ 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 $(ab)^3$

So, consider $1x^3$ , we know 1 can be written as $1^3$

Thus,  $1x^3$ can be written as  $1^3x^3=(1x)^3$

Thus, Option (a) is correct.

Answer 2

Answer:

Option A is correct

$1x^3$

Step-by-step explanation:

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

For example:

$7^3 = 343$

$(ab)^3 = a^3b^3$

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

Consider the  monomial $1x^3$.

We can write 1 as:

$1 = 1 \cdot 1 \cdot 1 = 1^3$

It can be written as:

$1x^3 = 1^3 \cdot x^3 = (1x)^3$

Therefore,  $1x^3$ monomial is a perfect cube