The inverse operations of potentiation are: root and logarithmization.

This is because in the potentiation operation there is no commutativity property. For example:

5^{3} = 5x5x5 = 125

It is other than

3^{5} = 3 x 3 x 3 x 3 x 3 = 243

By definition, the inverse operation to potentiation consists of: given the power and one of the data, the base or exponent must determine the other.

So:

Given the power and the exponent, if we want the base we must use the **RADICIATION**.

Given the power and the base, if we want the exponent we must use the **LOGARITMATION**.