The **exponent calculator** will allow you to calculate the exponent of a power from its base and the result.

For example, imagine you want to** calculate the exponent of a power** of which we know that the base is 2 and the result is 8, in this case, we are multiplying the number 2 by itself a total of x times until we get to eight.

To do this calculation in our exponent tool, you simply have to enter as base the number 2 (or whatever you need to multiply by itself) and in the result field the corresponding number. When you have the data entered, press the calculate button and you will obtain the **value of your power. **If you want to calculate powersYou can do it in the link that we have just left you.

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## How the exponent calculator works

To get a good understanding of how the **exponent calculator** it is essential that you know what a power is and what parts it is composed of. For example, in the power 3^{4} we can identify:

**Base**corresponds to the number 3 and refers to the number that we are going to multiply by itself n times.**Exponent**in our example it would be the number 4 and it indicates the number of times by which the base must be multiplied by itself.

That is, 3^{4} is the same as 3 x 3 x 3 x 3 x 3 and results in 81 in both cases.

Now that you know **what is a power**You can use our calculator to obtain the exponent online without any problems.

## How to calculate the exponent of a power knowing the result

For **to get the exponent of a power from its result** we will have to resort to the logarithms and the following formula:

Exponent of the power = log(result) / log(base of the power)

For example, if we are asked to **find the exponent of a power** whose base is 3 and the result is 81, we apply the above formula and we have that:

Exponent = log 81 / log 3 = 1.91 / 0.48 = 4

Is the result we have obtained true? Let's have a look:

2 x 2 x 2 x 2 x 2 x 2 = 81 = 2

^{4}

We have just demonstrated that the solution is correct. It is important, however, that in order to obtain a reliable result, a** when calculating logarithms, take as many decimal places as possible.** We may fall short with two or three and have rounding errors that are too high.

## Negative exponent powers

What happens if the **exponent of a power is negative**? In these cases, we can express it as the inverse of that power but with positive exponent. That is to say:

Here are some examples of powers with negative exponent **equivalently expressed by their inverse**:

3

^{-2}= 1/3^{2}4

^{-3}= 1 / 4^{3}

This resource** is widely used to simplify powers or fractions.** so remember it because you will use it in more than one math exercise.

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