# 52 to the 48th Power

Welcome to 52 to the 48th power, our post about the mathematical operation exponentiation of 52 to the power of 48. If you have been looking for 52 to the forty-eighth power, or if you have been wondering about 52 exponent 48, then you also have come to the right place. The number 52 is called the base, and the number 48 is called the exponent. In this post we are going to answer the question what is 52 to the 48th power. Keep reading to learn everything about fifty-two to the forty-eighth power.

## What is 52 to the 48th Power

52 to the 48th power is conventionally written as 5248, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 52^48.

5248 stands for the mathematical operation exponentiation of fifty-two by the power of forty-eight. As the exponent is a positive integer, exponentiation means a repeated multiplication:

52 to the 48th power = $\underbrace{ {\rm 52\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 52} }_{\rm 48\hspace{3px} times}$

The exponent of the number 52, 48, also called index or power, denotes how many times to multiply the base (52).

Thus, we can answer what is 52 to the 48th power as

52 to the power of 48 = 5248 = 233 4320556141 5174425773 7160555890 2091840686 9602557897 2793911832 5387165325 0825977856.

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

To stick with 52 to the power of 48 as an example, insert 52 for the base and enter 48 as the index, also known as exponent or power. Next, hit the convert button, then check the result.

52 to the 48th 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 48 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 52^48.

## 52 to the Power of 48

Reading all of the above, you already know most about 52 to the power of 48, 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 48, 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 48th power, (5248)−1, is. The inverse is 48th root of 5248, and the math goes as follows:

(5248)−1
= $\sqrt[48]{52^{48}}$
= $52^{48/48}$
= $52^{1}$
= 52

Because the index of 48 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (5248)−1$\hspace{3px} = \pm 52$; the positive value is the principal root.

Make sure to understand that exponentiation is not commutative, which means that 5248 ≠ 4852, and also note that (5248)-1 ≠ 52-48, the inverse and reciprocal of 5248, respectively.

You already know what 52 to the power of 48 equals, but you may also be interested in learning what 52 to the negative 48th power stands for. Next is the summary of our content.

## Fifty-two to the Forty-eighth Power

You have reached the concluding section of fifty-two to the forty-eighth power = 5248. Fifty-two to the forty-eighth power is, for example, the same as 52 to the power 48 or 52 to the 48 power.

Exponentiations like 5248 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 48, what is 52 to the 48 power, 52 exponent 48 or 48 power of 52, then it’s safe to assume that you have found your answer as well.

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Posted in Powers of 52