# 52 to the 40th Power

Welcome to 52 to the 40th power, our post about the mathematical operation exponentiation of 52 to the power of 40. If you have been looking for 52 to the fortieth power, or if you have been wondering about 52 exponent 40, then you also have come to the right place. The number 52 is called the base, and the number 40 is called the exponent. In this post we are going to answer the question what is 52 to the 40th power. Keep reading to learn everything about fifty-two to the fortieth power.

## What is 52 to the 40th Power

52 to the 40th power is conventionally written as 5240, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 52^40.

5240 stands for the mathematical operation exponentiation of fifty-two by the power of forty. As the exponent is a positive integer, exponentiation means a repeated multiplication:

52 to the 40th power = $\underbrace{ {\rm 52\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 52} }_{\rm 40\hspace{3px} times}$

The exponent of the number 52, 40, also called index or power, denotes how many times to multiply the base (52).

Thus, we can answer what is 52 to the 40th power as

52 to the power of 40 = 5240 = 436650282 4210920401 8751881314 6430946278 9871399441 5586688413 1600203776.

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

To stick with 52 to the power of 40 as an example, insert 52 for the base and enter 40 as the index, also known as exponent or power. Next, hit the convert button, then check the result.

52 to the 40th 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 40 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 52^40.

## 52 to the Power of 40

Reading all of the above, you already know most about 52 to the power of 40, 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 40, 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 40th power, (5240)−1, is. The inverse is 40th root of 5240, and the math goes as follows:

(5240)−1
= $\sqrt{52^{40}}$
= $52^{40/40}$
= $52^{1}$
= 52

Because the index of 40 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (5240)−1$\hspace{3px} = \pm 52$; the positive value is the principal root.

Make sure to understand that exponentiation is not commutative, which means that 5240 ≠ 4052, and also note that (5240)-1 ≠ 52-40, the inverse and reciprocal of 5240, respectively.

You already know what 52 to the power of 40 equals, but you may also be interested in learning what 52 to the negative 40th power stands for. Next is the summary of our content.

## Fifty-two to the Fortieth Power

You have reached the concluding section of fifty-two to the fortieth power = 5240. Fifty-two to the fortieth power is, for example, the same as 52 to the power 40 or 52 to the 40 power.

Exponentiations like 5240 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 40, what is 52 to the 40 power, 52 exponent 40 or 40 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 5240, 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