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Welcome to 3 to the 16th power, our post about the mathematical operation exponentiation of 3 to the power of 16.
If you have been looking for 3 to the sixteenth power, or if you have been wondering about 3 exponent 16, then you also have come to the right place. 🙂
The number 3 is called the base, and the number 16 is called the exponent. In this post we are going to answer the question what is 3 to the 16th power.
Keep reading to learn everything about three to the sixteenth power.
What is 3 to the 16th Power?
3 to the 16th power is conventionally written as 316, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^16.
316 stands for the mathematical operation exponentiation of three by the power of sixteen.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 3, 16, also called index or power, denotes how many times to multiply the base (3).
Thus, we can answer what is 3 to the 16th power as
If you have come here in search of an exponentiation different to 3 to the sixteenth power, or if you like to experiment with bases and indices, then use our calculator above.
To stick with 3 to the power of 16 as an example, insert 3 for the base and enter 16 as the index, also known as exponent or power.
3 to the 16th 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 16 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^16.
3 to the Power of 16
Reading all of the above, you already know most about 3 to the power of 16, 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 16, 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 16th power, (316)−1, is. The inverse is the 16th root of 316, and the math goes as follows:
Because the index of 16 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (316)−1
; the positive value is the principal root.
Make sure to understand that exponentiation is not commutative, which means that 316 ≠ 163, and also note that (316)-1 ≠ 3-16, the inverse and reciprocal of 316, respectively.
You already know what 3 to the power of 16 equals, but you may also be interested in learning what 3 to the negative 16th power stands for.
Next is the summary of our content.
Three to the Sixteenth Power
You have reached the concluding section of three to the sixteenth power = 316. Three to the sixteenth power is, for example, the same as 3 to the power 16 or 3 to the 16 power.
Exponentiations like 316 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 16, what is 3 to the 16 power, 3 exponent 16 or 16 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 316, then check out the articles which you can locate in the header menu of our site.
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