# 2 to the 61st Power

Welcome to 2 to the 61st power, our post about the mathematical operation exponentiation of 2 to the power of 61.

If you have been looking for 2 to the sixty-first power, or if you have been wondering about 2 exponent 61, then you also have come to the right place.

The number 2 is called the base, and the number 61 is called the exponent. In this post we are going to answer the question what is 2 to the 61st power.

## What is 2 to the 61st Power?

2 to the 61st power is conventionally written as 261, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^61.

261 stands for the mathematical operation exponentiation of two by the power of sixty-one.

As the exponent is a positive integer, exponentiation means a repeated multiplication:

2 to the 61st power = \underbrace{ {\rm 2 \times\thinspace ... \times\thinspace 2} }_{\rm 61 \thickspace times} The exponent of the number 2, 61, also called index or power, denotes how many times to multiply the base (2).

Thus, we can answer what is 2 to the 61st power as

2 to the power of 61 = 261 = 230584300 9213693952.

If you have come here in search of an exponentiation different to 2 to the sixty-first power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 2 to the power of 61 as an example, insert 2 for the base and enter 61 as the index, also known as exponent or power.

Next, hit the convert button, then check the result.

2 to the 61st power is an exponentiation which belongs to the category powers of 2.

Similar exponentiations on our site in this category include, but are not limited, to:

Ahead is more info related to 2 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 2^61.

## 2 to the Power of 61

Reading all of the above, you already know most about 2 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, 2 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 2 to the 61st power, (261)−1, is. The inverse is the 61st root of 261, and the math goes as follows:

(261)−1
= \sqrt{2^{61}}
= 2^{61/61}
= 2^{1}
= 2

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: (261)−1 = 2.

Make sure to understand that exponentiation is not commutative, which means that 261 ≠ 612, and also note that (261)-1 ≠ 2-61, the inverse and reciprocal of 261, respectively.

You already know what 2 to the power of 61 equals, but you may also be interested in learning what 2 to the negative 61st power stands for.

Next is the summary of our content.

## Two to the Sixty-first Power

You have reached the concluding section of two to the sixty-first power = 261. Two to the sixty-first power is, for example, the same as 2 to the power 61 or 2 to the 61 power.

Exponentiations like 261 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 2 power 61, what is 2 to the 61 power, 2 exponent 61 or 61 power of 2, then it’s safe to assume that you have found your answer as well.

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Posted in Powers of 2