# 52 to the 3rd Power

Welcome to 52 to the 3rd power, our post about the mathematical operation exponentiation of 52 to the power of 3. If you have been looking for 52 to the third power, or if you have been wondering about 52 exponent 3, then you also have come to the right place. The number 52 is called the base, and the number 3 is called the exponent. In this post we are going to answer the question what is 52 to the 3rd power. Keep reading to learn everything about fifty-two to the third power.

## What is 52 to the 3rd Power

52 to the 3rd power is conventionally written as 523, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 52^3.

523 stands for the mathematical operation exponentiation of fifty-two by the power of three. As the exponent is a positive integer, exponentiation means a repeated multiplication:

52 to the 3rd power = $\underbrace{ {\rm 52\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 52} }_{\rm 3\hspace{3px} times}$

The exponent of the number 52, 3, also called index or power, denotes how many times to multiply the base (52).

Thus, we can answer what is 52 to the 3rd power as

52 to the power of 3 = 523 = 140608.

If you have come here in search of an exponentiation different to 52 to the third power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 52 to the power of 3 as an example, insert 52 for the base and enter 3 as the index, also known as exponent or power. Next, hit the convert button, then check the result.

52 to the 3rd power is an exponentiation which belongs to the category powers of 52. Similar exponentiations on our site in this category include, but are not limited, to:

Ahead is more info related to 52 to the 3 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 52^3.

## 52 to the Power of 3

Reading all of the above, you already know most about 52 to the power of 3, except for its inverse which is discussed a bit further below in this section.

Using the aforementioned search form you can look up many numbers, including, for instance, 52 to the power 3, and you will be taken to a result page with relevant posts.

Now, we would like to show you what the inverse operation of 52 to the 3rd power, (523)−1, is. The inverse is 3rd root of 523, and the math goes as follows:

(523)−1
= $\sqrt[3]{52^{3}}$
= $52^{3/3}$
= $52^{1}$
= 52

Because the index of 3 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (523)−1$\hspace{3px} = \hspace{3px}52$.

Make sure to understand that exponentiation is not commutative, which means that 523 ≠ 352, and also note that (523)-1 ≠ 52-3, the inverse and reciprocal of 523, respectively.

You already know what 52 to the power of 3 equals, but you may also be interested in learning what 52 to the negative 3rd power stands for. Next is the summary of our content.

## Fifty-two to the Third Power

You have reached the concluding section of fifty-two to the third power = 523. Fifty-two to the third power is, for example, the same as 52 to the power 3 or 52 to the 3 power.

Exponentiations like 523 make it easier to write multiplications and to conduct math operations as numbers get either big or small, such as in case of decimal fractions with lots of trailing zeroes.

If you have been looking for 52 power 3, what is 52 to the 3 power, 52 exponent 3 or 3 power of 52, then it’s safe to assume that you have found your answer as well.

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If you like to learn more about exponentiation, the mathematical operation conducted in 523, then check out the articles which you can locate in the header menu of our site.

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Posted in Powers of 52