# 52 to the Negative 41st Power

Welcome to 52 to the negative 41st power, our post about the mathematical operation exponentiation of 52 to the power of -41. If you have been looking for 52 to the negative forty-first power, or if you have been wondering about 52 exponent minus 41, then you also have come to the right place. The number 52 is called the base, and the number minus 41 is called the exponent. In this post we are going to answer the question what is 52 to the negative 41st power. Keep reading to learn everything about fifty-two to the negative forty-first power.

## What is 52 to the Negative 41st Power

52 to the negative 41st power is conventionally written as 52-41, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 52^-41.

52-41 stands for the mathematical operation exponentiation of fifty-two by the power of negative forty-one. As the exponent is a negative integer, exponentiation means the reciprocal of a repeated multiplication:

52 to the negative 41st power = $\frac{1}{\underbrace{ {\rm 52\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 52} }_{\rm 41\hspace{3px} times}}$

The absolute value of the exponent of the number -41, 41, 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 41st power as

52 to the power of minus 41 = 52-41 = 1 / 2 2705814685 8967860897 5097828361 4409206507 3312770961 0507797484 3210596352.

If you have come here in search of an exponentiation different to 52 to the negative forty-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 negative 41 as an example, insert 52 for the base and enter -41 as the index, aka exponent or power. Next, hit the convert button, then check the result.

52 to the negative 41st 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 41 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 41.

## 52 to the Power of -41

Reading all of the above, you already know most about 52 to the power of minus 41, 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 41, 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 41st power, (52-41)−1, is. The inverse is 1 over the 41st root of 5241, and the math goes as follows:

(52-41)−1
= $\frac{1}{\sqrt{52^{41}}}$
= $\frac{1}{52^{41/41}}$
= $\frac{1}{52^{1}}$
= $\frac{1}{52}$

Because the index of 41 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (5241)−1$\hspace{3px} = \frac{1}{52}$.

Make sure to understand that exponentiation is not commutative, which means that 52-41 ≠ -4152, and also note that (52-41)-1 ≠ 5241, the inverse and reciprocal of 52-41, respectively.

You already know what 52 to the power of minus 41 equals, but you may also be interested in learning what 52 to the 41st power stands for. Next is the summary of negative 41 power of 52.

## Fifty-two to the Negative Forty-first Power

You have reached the final part of fifty-two to the negative forty-first power. Fifty-two to the negative forty-first power is the same as 52 to the power minus 41 or 52 to the minus 41 power.

Exponentiations like 52-41 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 -41, what is 52 to the negative 41 power, 52 exponent minus 41 or 41 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