# 2 to the 64th Power

Welcome to 2 to the 64th power, our post about the mathematical operation exponentiation of 2 to the power of 64. If you have been looking for 2 to the sixty-fourth power, or if you have been wondering about 2 exponent 64, then you also have come to the right place. The number 2 is called the base, and the number 64 is called the exponent. In this post we are going to answer the question what is 2 to the 64th power. Keep reading to learn everything about two to the sixty-fourth power.

## What is 2 to the 64th Power

2 to the 64th power is conventionally written as 264, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^64.

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

2 to the 64th power = $\underbrace{ {\rm 2\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 2} }_{\rm 64\hspace{3px} times}$

The exponent of the number 2, 64, also called index or power, denotes how many times to multiply the base (2).

Thus, we can answer what is 2 to the 64th power as

2 to the power of 64 = 264 = 1844674407 3709551616.

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

To stick with 2 to the power of 64 as an example, insert 2 for the base and enter 64 as the index, also known as exponent or power. Next, hit the convert button, then check the result.

2 to the 64th 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 64 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 2^64.

## 2 to the Power of 64

Reading all of the above, you already know most about 2 to the power of 64, 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 64, 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 64th power, (264)−1, is. The inverse is 64th root of 264, and the math goes as follows:

(264)−1
= $\sqrt[64]{2^{64}}$
= $2^{64/64}$
= $2^{1}$
= 2

Because the index of 64 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (264)−1$\hspace{3px} = \pm 2$; the positive value is the principal root.

Make sure to understand that exponentiation is not commutative, which means that 264 ≠ 642, and also note that (264)-1 ≠ 2-64, the inverse and reciprocal of 264, respectively.

You already know what 2 to the power of 64 equals, but you may also be interested in learning what 2 to the negative 64th power stands for. Next is the summary of our content.

## Two to the Sixty-fourth Power

You have reached the concluding section of two to the sixty-fourth power = 264. Two to the sixty-fourth power is, for example, the same as 2 to the power 64 or 2 to the 64 power.

Exponentiations like 264 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 64, what is 2 to the 64 power, 2 exponent 64 or 64 power of 2, then it’s safe to assume that you have found your answer as well.

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If you like to learn more about exponentiation, the mathematical operation conducted in 264, then check out the articles which you can locate in the header menu of our site.

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Posted in Powers of 2