Question

true or false

For an Integer a,a³ is always greater than a² _____
​

Answer 1

Answer:

False

Step-by-step explanation:

Don't believe me? Let's take an example, which is 1

1^3 = 1

1^2 = 1

Since it is not bigger, The answer is False.

Hope it helps you!

Answer 2

Answer:

False

Step-by-step explanation:

It is true only in the case of Positive integers.

Ex: 5³ > 5² , 9³ > 9²

But in the case of negative integers

Ex: (-2)³ < (-2)² , (-7)³ < (-7)²

Many more reasons are available but just for proving it these basic rules can be used.

THEREFORE IT CAN BE CONCLUDED THAT,

For an Integer a,a³ is always greater than a² is not true in all cases