When x is a perfect square, what is true about the cube of x

We are given x is a perfect square.

Let us take x in terms of another variable p.

Let us assume square root of x gives a value p (because x is a perfect square, square root of x would give a perfect number).

Squaring both sides, we get

Square cancels a square root, so we get only x on left side.

We need to find the value of x cube.

Taking cube on both sides, we get

Applying power of power rule of exponents (we multiply power of power).

We can see p^6 is also a perfect square.

So, we could say x^3 is also a perfect square.

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered