Table of Contents
Welcome to 3 to the 10th power, our post about the mathematical operation exponentiation of 3 to the power of 10.
If you have been looking for 3 to the tenth power, or if you have been wondering about 3 exponent 10, then you also have come to the right place. 🙂
The number 3 is called the base, and the number 10 is called the exponent. In this post we are going to answer the question what is 3 to the 10th power.
Keep reading to learn everything about three to the tenth power.
What is 3 to the 10th Power?
3 to the 10th power is conventionally written as 310, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^10.
310 stands for the mathematical operation exponentiation of three by the power of ten.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 3, 10, also called index or power, denotes how many times to multiply the base (3).
Thus, we can answer what is 3 to the 10th power as
If you have come here in search of an exponentiation different to 3 to the tenth power, or if you like to experiment with bases and indices, then use our calculator below.
To stick with 3 to the power of 10 as an example, insert 3 for the base and enter 10 as the index, also known as exponent or power.
3 to the 10th 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 10 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^10.
3 to the Power of 10
Reading all of the above, you already know most about 3 to the power of 10, 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 10, 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 10th power, (310)−1, is. The inverse is the 10th root of 310, and the math goes as follows:
Because the index of 10 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (310)−1
; the positive value is the principal root.
Make sure to understand that exponentiation is not commutative, which means that 310 ≠ 103, and also note that (310)-1 ≠ 3-10, the inverse and reciprocal of 310, respectively.
You already know what 3 to the power of 10 equals, but you may also be interested in learning what 3 to the negative 10th power stands for.
Next is the summary of our content.
Three to the Tenth Power
You have reached the concluding section of three to the tenth power = 310. Three to the tenth power is, for example, the same as 3 to the power 10 or 3 to the 10 power.
Exponentiations like 310 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 10, what is 3 to the 10 power, 3 exponent 10 or 10 power of 3, 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 310, then check out the articles which you can locate in the header menu of our site.
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