# 52 to the Negative 52nd Power

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

## What is 52 to the Negative 52nd Power

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

52-52 stands for the mathematical operation exponentiation of fifty-two by the power of negative fifty-two. As the exponent is a negative integer, exponentiation means the reciprocal of a repeated multiplication:

52 to the negative 52nd power = $\frac{1}{\underbrace{ {\rm 52\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 52} }_{\rm 52\hspace{3px} times}}$

The absolute value of the exponent of the number -52, 52, denotes how many times to multiply the base (52), and the power’s minus sign stands for reciprocal.

Thus, we can answer what is 52 to the negative 52nd power as

52 to the power of minus 52 = 52-52 = 1 / 1706765552 7413217197 4277914691 5015747713 5836229597 5962674353 0457379400 4185519123 2907575296.

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

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

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

## 52 to the Power of -52

Reading all of the above, you already know most about 52 to the power of minus 52, 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 minus 52, 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 negative 52nd power, (52-52)−1, is. The inverse is 1 over the 52nd root of 5252, and the math goes as follows:

(52-52)−1
= $\frac{1}{\sqrt{52^{52}}}$
= $\frac{1}{52^{52/52}}$
= $\frac{1}{52^{1}}$
= $\frac{1}{52}$

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

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

## Fifty-two to the Negative Fifty-second Power

You have reached the final part of fifty-two to the negative fifty-second power. Fifty-two to the negative fifty-second power is the same as 52 to the power minus 52 or 52 to the minus 52 power.

Exponentiations like 52-52 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 -52, what is 52 to the negative 52 power, 52 exponent minus 52 or 52 negative 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