Welcome to 2 to the 38th power, our post about the mathematical operation exponentiation of 2 to the power of 38.
If you have been looking for 2 to the thirty-eighth power, or if you have been wondering about 2 exponent 38, then you also have come to the right place.
The number 2 is called the base, and the number 38 is called the exponent. In this post we are going to answer the question what is 2 to the 38th power.
Keep reading to learn everything about two to the thirty-eighth power.
What is 2 to the 38th Power?
2 to the 38th power is conventionally written as 238, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^38.
238 stands for the mathematical operation exponentiation of two by the power of thirty-eight.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 2, 38, also called index or power, denotes how many times to multiply the base (2).
Thus, we can answer what is 2 to the 38th power as
If you have come here in search of an exponentiation different to 2 to the thirty-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 38 as an example, insert 2 for the base and enter 38 as the index, also known as exponent or power.
2 to the 38th 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 38 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 2^38.
2 to the Power of 38
Reading all of the above, you already know most about 2 to the power of 38, 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 38, 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 38th power, (238)−1, is. The inverse is the 38th root of 238, and the math goes as follows:
Because the index of 38 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (238)−1
; the positive value is the principal root.
Make sure to understand that exponentiation is not commutative, which means that 238 ≠ 382, and also note that (238)-1 ≠ 2-38, the inverse and reciprocal of 238, respectively.
You already know what 2 to the power of 38 equals, but you may also be interested in learning what 2 to the negative 38th power stands for.
Next is the summary of our content.
Two to the Thirty-eighth Power
You have reached the concluding section of two to the thirty-eighth power = 238. Two to the thirty-eighth power is, for example, the same as 2 to the power 38 or 2 to the 38 power.
Exponentiations like 238 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 38, what is 2 to the 38 power, 2 exponent 38 or 38 power of 2, then it’s safe to assume that you have found your answer as well.
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