Final answer:
The inverse operation of cubing (raising a number to the third power) is the cube root, which finds a number that, when cubed, returns the original number.
Step-by-step explanation:
The inverse operation of cubed power, which is raising a number to the third power, is known as the cube root. The cube root of a number x is a value that, when cubed, gives back the number x. In mathematical terms, if y is the cube of x (y = x3), then x is the cube root of y (x = 3√y).
For example, the cube root of 27 is 3 because 33 (3 × 3 × 3) equals 27. Similarly, just as subtraction is the inverse of addition and division is the inverse of multiplication, the cube root function is the inverse of the cubing function.