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Perhaps the best thing, prior to addressing an explanation of the Power of a rational radical, is to briefly revise some definitions, **which will allow us to understand this operation in its precise context.**

## Fundamental definitions

In this sense, it may be best to also delimit this conceptual review to four basic notions: Fractions, Empowerment, Radiation and Rational Radical, **as these are the expressions and operations directly related to the procedure** by means of which the Power of a rational radical is established. **Here are each of these concepts:**

## Fractions

In this way, it will begin to say that the Mathematics has conceived fractions as a mathematical expression, **by means of which it is aware of rational or fractional numbers,** ergo, this expression will serve to represent amounts not accurate or non-whole. On the other hand, Mathematics also indicates that fractions **will always be made up of two elements, defined in turn as follows:**

**Numerator:**First, the Numerator will be explained as the element or number that constitutes the top of the expression. Your mission will be to indicate how many parts have been taken altogether.**Denominator:**On the other hand, the Denominator will be located at the bottom of the fraction. It has the task of pointing out how many parts the whole is divided into.

## Empowerment

Thus it will also be necessary to address the definition of Empowerion, **which is seen as a mathematical operation,** whose main purpose is to determine what is the resulting product of multiplying for itself a number that makes the basis, so often points to a according to numerical element, **which is an exponent, so it can then be said that The Empoweror can also be seen as an abbreviated** multiplication.

## Establishment

As for the Radiation, the different sources have pointed out that it can be understood **as a mathematical operation by which it is a question of calculating what is the number that being raised by the index origina**lly offered by the operation results in the this procedure also initially indicates. Consequently, most sources agree that the Radiation can also be understood as a reverse expression of the Empoweror.

## Types of adverbs based on their function

Finally, rational radicals can be explained – according to what they point to mathematical sources – as a type of mathematical expression, composed of a coefficient and a radical, **which has a settlement consisting of a rational number or a Fraction.** The correct way to resolve this operation or expression will be **by calculating the radical of each of the elements that constitute the rational expression.**

## Power of a rational radical

Once each of these concepts have been revised, it may be much easier to address the notion of Power of a rational radical, **which is understood as the operation by which it is sought to determine what is the product of multiplying for itself** a radical reason as many times as the number that serves as an exponent points out.

Likewise, the Mathematics points out that whenever one wants to solve the Power of a rational radical **it will be necessary to elevate the exponent only the radicay, without the index of the radical suffering any alteration**. In this order of ideas it will also be important to point out that the correct way to solve the power of a rational, will be to elevate to the exponent each of the elements of this.

The Power operation of a rational radical **may be expressed mathematically as follows:**

## Example of how to solve the Power of a rational radical

However, the best way to solve an operation where the Power of a rational radical needs to be calculated may be through the exposure of a particular example where **you can see how each of the steps that warrant the solution of an ope such a ration, such as the following:**

**Resolve the following operation:**

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September 30, 2019