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Welcome to 3 to the 14th power, our post about the mathematical operation exponentiation of 3 to the power of 14.
If you have been looking for 3 to the fourteenth power, or if you have been wondering about 3 exponent 14, then you also have come to the right place. 🙂
The number 3 is called the base, and the number 14 is called the exponent. In this post we are going to answer the question what is 3 to the 14th power.
Keep reading to learn everything about three to the fourteenth power.
What is 3 to the 14th Power?
3 to the 14th power is conventionally written as 314, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^14.
314 stands for the mathematical operation exponentiation of three by the power of fourteen.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 3, 14, also called index or power, denotes how many times to multiply the base (3).
Thus, we can answer what is 3 to the 14th power as
If you have come here in search of an exponentiation different to 3 to the fourteenth power, or if you like to experiment with bases and indices, then use our calculator below.
To stick with 3 to the power of 14 as an example, insert 3 for the base and enter 14 as the index, also known as exponent or power.
3 to the 14th 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 14 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^14.
3 to the Power of 14
Reading all of the above, you already know most about 3 to the power of 14, 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 14, 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 14th power, (314)−1, is. The inverse is the 14th root of 314, and the math goes as follows:
Because the index of 14 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (314)−1
; the positive value is the principal root.
Make sure to understand that exponentiation is not commutative, which means that 314 ≠ 143, and also note that (314)-1 ≠ 3-14, the inverse and reciprocal of 314, respectively.
You already know what 3 to the power of 14 equals, but you may also be interested in learning what 3 to the negative 14th power stands for.
Next is the summary of our content.
Three to the Fourteenth Power
You have reached the concluding section of three to the fourteenth power = 314. Three to the fourteenth power is, for example, the same as 3 to the power 14 or 3 to the 14 power.
Exponentiations like 314 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 14, what is 3 to the 14 power, 3 exponent 14 or 14 power of 3, then it’s safe to assume that you have found your answer as well.
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