Table of Contents
Welcome to 3 to the 100th power, our post about the mathematical operation exponentiation of 3 to the power of 100.
If you have been looking for 3 to the hundredth power, or if you have been wondering about 3 exponent 100, then you also have come to the right place. 🙂
The number 3 is called the base, and the number 100 is called the exponent. In this post we are going to answer the question what is 3 to the 100th power.
Keep reading to learn everything about three to the hundredth power.
What is 3 to the 100th Power?
3 to the 100th power is conventionally written as 3100, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^100.
3100 stands for the mathematical operation exponentiation of three by the power of hundred.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 3, 100, also called index or power, denotes how many times to multiply the base (3).
Thus, we can answer what is 3 to the 100th power as
If you have come here in search of an exponentiation different to 3 to the hundredth power, or if you like to experiment with bases and indices, then use our calculator above.
To stick with 3 to the power of 100 as an example, insert 3 for the base and enter 100 as the index, also known as exponent or power.
3 to the 100th power is an exponentiation which belongs to the category powers of 3.
Similar exponentiations on our site in this category include, but are not limited, to:
Ahead is more info related to 3 to the 100 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^100.
3 to the Power of 100
Reading all of the above, you already know most about 3 to the power of 100, 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, 3 to the power 100, and you will be taken to a result page with relevant posts.
Now, we would like to show you what the inverse operation of 3 to the 100th power, (3100)−1, is. The inverse is the 100th root of 3100, and the math goes as follows:
Because the index of 100 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (3100)−1
; the positive value is the principal root.
Make sure to understand that exponentiation is not commutative, which means that 3100 ≠ 1003, and also note that (3100)-1 ≠ 3-100, the inverse and reciprocal of 3100, respectively.
You already know what 3 to the power of 100 equals, but you may also be interested in learning what 3 to the negative 100th power stands for.
Next is the summary of our content.
Three to the Hundredth Power
You have reached the concluding section of three to the hundredth power = 3100. Three to the hundredth power is, for example, the same as 3 to the power 100 or 3 to the 100 power.
Exponentiations like 3100 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 3 power 100, what is 3 to the 100 power, 3 exponent 100 or 100 power of 3, then it’s safe to assume that you have found your answer as well.
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