What would be the conjecture for the product of a number and its square?

Question

I'm working on conjectures, and I can't figure this out. Thanks!

Answer 1

Let x be the number

the square is x²

the product of x and x² is x³ x(x²)=x³

the product of a number and its square is the number cubed

Answer 2

A conjecture is your opinion about something (what you think or expect to happen) based on your observations.

Let "n" be a number, then that means that the square of a number is n² and the product of a number and its square is n*n².

Lets pick some values of n. For n = 2, the product of 2 and its square (4) is 8. For n = 3, the product of 3 and its square (9) is 27. For n = 4, the product of 4 and its square (16) is 64.

I'm thinking that the product of a number and its square is n³, what do you think?