**2 to the 48th power**, our post about the mathematical operation

*exponentiation of 2 to the power of 48*.

If you have been looking for 2 to the forty-eighth power, or if you have been wondering about 2 exponent 48, then you also have come to the right place.

The number 2 is called the base, and the number 48 is called the exponent. In this post we are going to answer the question

*what is 2 to the 48th power*.

Keep reading to learn everything about two to the forty-eighth power.

## What is 2 to the 48th Power?

2 to the 48th power is conventionally written as 2^{48}, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^48.

2^{48} stands for the mathematical operation *exponentiation of two by the power of forty-eight*.

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

The exponent of the number 2, 48, also called index or power, denotes how many times to multiply the base (2).

Thus, we can answer what is 2 to the 48th power as

**2 to the power of 48 = 2**.

^{48}= 28147 4976710656If you have come here in search of an exponentiation different to 2 to the forty-eighth power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 2 to the power of 48 as an example, insert 2 for the base and enter 48 as the index, also known as exponent or power.

2 to the 48th 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 48 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 2^48.

## 2 to the Power of 48

Reading all of the above, you already know most about 2 to the power of 48, 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 48, 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 48th power, (2^{48})^{−1}, is. The inverse is the 48th root of 2^{48}, and the math goes as follows:

^{48})

^{−1}

Because the index of 48 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (2

^{48})

^{−1}

; the positive value is the principal root.

Make sure to understand that exponentiation is not commutative, which means that 2

^{48}≠ 48

^{2}, and also note that (2

^{48})

^{-1}≠ 2

^{-48}, the inverse and reciprocal of 2

^{48}, respectively.

You already know what 2 to the power of 48 equals, but you may also be interested in learning what 2 to the negative 48th power stands for.

Next is the summary of our content.

## Two to the Forty-eighth Power

You have reached the concluding section of two to the forty-eighth power = 2^{48}. Two to the forty-eighth power is, for example, the same as 2 to the power 48 or 2 to the 48 power.

Exponentiations like 2^{48} 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 48, *what is 2 to the 48 power*, 2 exponent 48 or 48 power of 2, then it’s safe to assume that you have found your answer as well.

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## Conclusion

In summary,

If you like to learn more about exponentiation, the mathematical operation conducted in 2^{48}, then check out the articles which you can locate in the header menu of our site.

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