# 2 to the 50th Power

Welcome to 2 to the 50th power, our post about the mathematical operation exponentiation of 2 to the power of 50.

If you have been looking for 2 to the fiftieth power, or if you have been wondering about 2 exponent 50, then you also have come to the right place.

The number 2 is called the base, and the number 50 is called the exponent. In this post we are going to answer the question what is 2 to the 50th power.

## What is 2 to the 50th Power?

2 to the 50th power is conventionally written as 250, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^50.

250 stands for the mathematical operation exponentiation of two by the power of fifty.

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

2 to the 50th power = \underbrace{ {\rm 2 \times\thinspace ... \times\thinspace 2} }_{\rm 50 \thickspace times} The exponent of the number 2, 50, also called index or power, denotes how many times to multiply the base (2).

Thus, we can answer what is 2 to the 50th power as

2 to the power of 50 = 250 = 112589 9906842624.

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

To stick with 2 to the power of 50 as an example, insert 2 for the base and enter 50 as the index, also known as exponent or power.

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

2 to the 50th 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 50 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 2^50.

## 2 to the Power of 50

Reading all of the above, you already know most about 2 to the power of 50, 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 50, 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 50th power, (250)−1, is. The inverse is the 50th root of 250, and the math goes as follows:

(250)−1
= \sqrt{2^{50}}
= 2^{50/50}
= 2^{1}
= 2

Because the index of 50 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (250)−1 = \pm 2; the positive value is the principal root.

Make sure to understand that exponentiation is not commutative, which means that 250 ≠ 502, and also note that (250)-1 ≠ 2-50, the inverse and reciprocal of 250, respectively.

You already know what 2 to the power of 50 equals, but you may also be interested in learning what 2 to the negative 50th power stands for.

Next is the summary of our content.

## Two to the Fiftieth Power

You have reached the concluding section of two to the fiftieth power = 250. Two to the fiftieth power is, for example, the same as 2 to the power 50 or 2 to the 50 power.

Exponentiations like 250 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 50, what is 2 to the 50 power, 2 exponent 50 or 50 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 250, 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