Final answer:
To solve for b in the equation b^3 = -216, one needs to calculate the cube root of -216, which is -6.
Step-by-step explanation:
The student is asked to determine the value of b in the equation b3 = -216.
To solve for b, we need to find the cube root of -216.
Since the cube root of a negative number is negative and the cube root of 216 is 6 (as 6 x 6 x 6 = 216),
the solution for b is b = -6.