When you take the cube root of a negative number, is the sign of the cube root positive (+) or negative (–)

Answer 1

When you take the cube root of a negative number, the sign of the cube root depends on whether the exponent (power) of the negative number is odd or even.

If the exponent is odd, the cube root of a negative number will be negative (–).
If the exponent is even, the cube root of a negative number will be positive (+).

For example:
The cube root of -8 is -2 because the exponent 3 is odd.
The cube root of -27 is -3 because the exponent 3 is odd.
The cube root of -64 is +4 because the exponent 3 is even.