Make and test a conjecture about the sign of the cube of negative integers

The correct answer is: the sign of cube of negative intergers is negative.

The cube of a number is the number multiplied by itself thrice. For the negative numbers, cubes are negative since the negative numbers are multiplied thrice. When two negative numbers are squared, the result is positive. However, when the negative numbers are cubed, the result is negative

(- 3)³

= (-3) × (- 3) = 9

= 9 × (- 3)

= - 27
Hence, the cube of (-3) is -27.
Therefore, the sign of cube of negative intergers is negative.