# 3 to the 39th Power

Welcome to 3 to the 39th power, our post about the mathematical operation exponentiation of 3 to the power of 39.

If you have been looking for 3 to the thirty-ninth power, or if you have been wondering about 3 exponent 39, then you also have come to the right place.

The number 3 is called the base, and the number 39 is called the exponent. In this post we are going to answer the question what is 3 to the 39th power.

## What is 3 to the 39th Power?

3 to the 39th power is conventionally written as 339, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^39.

339 stands for the mathematical operation exponentiation of three by the power of thirty-nine.

As the exponent is a positive integer, exponentiation means a repeated multiplication:

3 to the 39th power = \underbrace{ {\rm 3 \times\thinspace ... \times\thinspace 3} }_{\rm 39 \thickspace times} The exponent of the number 3, 39, also called index or power, denotes how many times to multiply the base (3).

Thus, we can answer what is 3 to the 39th power as

3 to the power of 39 = 339 = 405255515 3018976267.

If you have come here in search of an exponentiation different to 3 to the thirty-ninth power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 3 to the power of 39 as an example, insert 3 for the base and enter 39 as the index, also known as exponent or power.

Next, hit the convert button, then check the result.

3 to the 39th 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 39 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^39.

## 3 to the Power of 39

Reading all of the above, you already know most about 3 to the power of 39, 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 39, 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 39th power, (339)−1, is. The inverse is the 39th root of 339, and the math goes as follows:

(339)−1
= \sqrt{3^{39}}
= 3^{39/39}
= 3^{1}
= 3

Because the index of 39 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (339)−1 = 3.

Make sure to understand that exponentiation is not commutative, which means that 339 ≠ 393, and also note that (339)-1 ≠ 3-39, the inverse and reciprocal of 339, respectively.

You already know what 3 to the power of 39 equals, but you may also be interested in learning what 3 to the negative 39th power stands for.

Next is the summary of our content.

## Three to the Thirty-ninth Power

You have reached the concluding section of three to the thirty-ninth power = 339. Three to the thirty-ninth power is, for example, the same as 3 to the power 39 or 3 to the 39 power.

Exponentiations like 339 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 39, what is 3 to the 39 power, 3 exponent 39 or 39 power of 3, then it’s safe to assume that you have found your answer as well.

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Posted in Powers of 3