(1) The symbolic notation can be interpreted as follows:
Here means cube root of -512.
So total meaning of the notation is,
Cube root of -512 is -8
(2) The symbolic notation can be interpreted as follows:
Here means cube root of 1.
So total meaning of the notation is,
Cube root of 1 is 1
(3) The symbolic notation can be interpreted as follows:
Here means cube root of 729.
So total meaning of the notation is,
Cube root of 729 is 9.
(4) The symbolic notation can be interpreted as follows:
Here means cube root of -729.
So total meaning of the notation is,
Cube root of -729 is -9.