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Welcome to 3 to the 21st power, our post about the mathematical operation exponentiation of 3 to the power of 21.
If you have been looking for 3 to the twenty-first power, or if you have been wondering about 3 exponent 21, then you also have come to the right place. 🙂
The number 3 is called the base, and the number 21 is called the exponent. In this post we are going to answer the question what is 3 to the 21st power.
Keep reading to learn everything about three to the twenty-first power.
What is 3 to the 21st Power?
3 to the 21st power is conventionally written as 321, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^21.
321 stands for the mathematical operation exponentiation of three by the power of twenty-one.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 3, 21, also called index or power, denotes how many times to multiply the base (3).
Thus, we can answer what is 3 to the 21st power as
If you have come here in search of an exponentiation different to 3 to the twenty-first power, or if you like to experiment with bases and indices, then use our calculator below.
To stick with 3 to the power of 21 as an example, insert 3 for the base and enter 21 as the index, also known as exponent or power.
3 to the 21st 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 21 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^21.
3 to the Power of 21
Reading all of the above, you already know most about 3 to the power of 21, 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 21, 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 21st power, (321)−1, is. The inverse is the 21st root of 321, and the math goes as follows:
Because the index of 21 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (321)−1
Make sure to understand that exponentiation is not commutative, which means that 321 ≠ 213, and also note that (321)-1 ≠ 3-21, the inverse and reciprocal of 321, respectively.
You already know what 3 to the power of 21 equals, but you may also be interested in learning what 3 to the negative 21st power stands for.
Next is the summary of our content.
Three to the Twenty-first Power
You have reached the concluding section of three to the twenty-first power = 321. Three to the twenty-first power is, for example, the same as 3 to the power 21 or 3 to the 21 power.
Exponentiations like 321 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 21, what is 3 to the 21 power, 3 exponent 21 or 21 power of 3, then it’s safe to assume that you have found your answer as well.
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