Definition of empowerment - What it is, Meaning and Concept

Empowerment is a term related to the verb empower .This action, on the other hand, consists in providing power (strength, capacity) to something.For example: "The coach sought the empowerment of his team with the additions of Lopez and Sarachet" , "We have to invest in the empowerment of the radio so we reach more listeners" , "The empowerment of the city as a tourist destination is one of the objectives of this government" .

The most common use of the concept, however, is associated with the math .In this sense, the empowerment consists of raising a number to a certain power .This operation is developed from the participation of a base and a exponent : the base is raised to the exponent.

Let's look at an example.Operation 3 raised to 4 consists of multiply 4 times the n umero 3 by itself (which returns the result 81 ).In this case, 3 is the base and 4 , the exponent.This same logic can be applied with real numbers , complex numbers and various kinds of algebraic structures .Empowerment has several properties, and some of them are quite simple to understand compared to more complex operations.

If you have two or more powers of the same base, it is possible to replace them with one that has as an exponent the total of the sum of the previous ones; for example: the product of 9 squared by 9 cubed by 9 to 5 is equivalent to raising 9 to 10 (this exponent is obtained by adding 2 + 3 + 5 ).

When the power of another power must be calculated, there is the possibility of simplifying the equation by multiplying the exponents of the powers and raising the base to the number resulting from that product; for example: if you have 4 squared between parentheses, all raised to the cube, it is possible to replace the calculation with a single power, in which the base is 4 and the exponent results from multiplying 2 x 3 .

Another property of the potentiation says that in the potency of a product, that is, when it is desired to raise a series of multiplied numbers enclosed in parentheses to the same exponent, it is possible to extract them and raise each one individually to said exponent, getting the same result; for example, if we have the product 4 x 9 x 5 in parentheses, all squared, it is possible to obtain the same result if it is raised each base squared and the parentheses are eliminated.

The division of powers of the same base, on the other hand, can be replaced by a single power whose exponent is equal to subtract the exponent of the dividend from that of the divisor; for example: if you try to divide 4 into the cube by 4 squared, the same result would be obtained by raising 4 to 1 (where 1 arises from the difference 3 - 2 ).

It should be mentioned that empowerment is not distributive when there are sums or subtractions raised to a common exponent; in other words, a group of additions or subtractions enclosed in parentheses and raised to a certain exponent cannot be extracted and expressed as separate powers, which if possible with multiplication (as explained above).

The empowerment can be transferred to a graph from a parabola (when the exponent is natural and odd) or from a curve with linked branches at the vertex (if the exponent is natural, but even ).

In some specific cases, the potentiation is read differently and not with the formula "raised to the number x" .If the number rises to 2 , it It says that it is elevated "squared" while if the potentiation consists in raising 3 , there is talk of raising "to the cube" .