# 52 to the 61st Power

Welcome to 52 to the 61st power, our post about the mathematical operation exponentiation of 52 to the power of 61. If you have been looking for 52 to the sixty-first power, or if you have been wondering about 52 exponent 61, then you also have come to the right place. The number 52 is called the base, and the number 61 is called the exponent. In this post we are going to answer the question what is 52 to the 61st power. Keep reading to learn everything about fifty-two to the sixty-first power.

## What is 52 to the 61st Power

52 to the 61st power is conventionally written as 5261, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 52^61.

5261 stands for the mathematical operation exponentiation of fifty-two by the power of sixty-one. As the exponent is a positive integer, exponentiation means a repeated multiplication:

52 to the 61st power = $\underbrace{ {\rm 52\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 52} }_{\rm 61\hspace{3px} times}$

The exponent of the number 52, 61, also called index or power, denotes how many times to multiply the base (52).

Thus, we can answer what is 52 to the 61st power as

52 to the power of 61 = 5261 = 47446 4760205235 8368972920 1103798951 9515027340 3488787330 7692191624 9505922066 6696823376 3908967000 6874570752.

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

To stick with 52 to the power of 61 as an example, insert 52 for the base and enter 61 as the index, also known as exponent or power. Next, hit the convert button, then check the result.

52 to the 61st 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 61 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 52^61.

## 52 to the Power of 61

Reading all of the above, you already know most about 52 to the power of 61, 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 61, 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 61st power, (5261)−1, is. The inverse is 61st root of 5261, and the math goes as follows:

(5261)−1
= $\sqrt{52^{61}}$
= $52^{61/61}$
= $52^{1}$
= 52

Because the index of 61 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (5261)−1$\hspace{3px} = \hspace{3px}52$.

Make sure to understand that exponentiation is not commutative, which means that 5261 ≠ 6152, and also note that (5261)-1 ≠ 52-61, the inverse and reciprocal of 5261, respectively.

You already know what 52 to the power of 61 equals, but you may also be interested in learning what 52 to the negative 61st power stands for. Next is the summary of our content.

## Fifty-two to the Sixty-first Power

You have reached the concluding section of fifty-two to the sixty-first power = 5261. Fifty-two to the sixty-first power is, for example, the same as 52 to the power 61 or 52 to the 61 power.

Exponentiations like 5261 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 61, what is 52 to the 61 power, 52 exponent 61 or 61 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