# 11 to the 1st Power

Welcome to 11 to the 1st power, our post about the mathematical operation exponentiation of 11 to the power of 1.

If you have been looking for 11 to the first power, or if you have been wondering about 11 exponent 1, then you also have come to the right place.

The number 11 is called the base, and the number 1 is called the exponent. In this post we are going to answer the question what is 11 to the 1st power.

## What is 11 to the 1st Power?

11 to the 1st power is conventionally written as 111, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 11^1.

111 stands for the mathematical operation exponentiation of eleven by the power of one.

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

11 to the 1st power = \underbrace{ {\rm 11 \times\thinspace ... \times\thinspace 11} }_{\rm 1 \thickspace times} The exponent of the number 11, 1, also called index or power, denotes how many times to multiply the base (11).

Thus, we can answer what is 11 to the 1st power as

11 to the power of 1 = 111 = 11.

If you have come here in search of an exponentiation different to 11 to the first power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 11 to the power of 1 as an example, insert 11 for the base and enter 1 as the index, also known as exponent or power.

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

11 to the 1st power is an exponentiation which belongs to the category powers of 11.

Similar exponentiations on our site in this category include, but are not limited, to:

Ahead is more info related to 11 to the 1 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 11^1.

## 11 to the Power of 1

Reading all of the above, you already know most about 11 to the power of 1, 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, 11 to the power 1, and you will be taken to a result page with relevant posts.

Now, we would like to show you what the inverse operation of 11 to the 1st power, (111)−1, is. The inverse is the 1st root of 111, and the math goes as follows:

(111)−1
= \sqrt{11^{1}}
= 11^{1/1}
= 11^{1}
= 11

Because the index of 1 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (111)−1 = 11.

Make sure to understand that exponentiation is not commutative, which means that 111 ≠ 111, and also note that (111)-1 ≠ 11-1, the inverse and reciprocal of 111, respectively.

You already know what 11 to the power of 1 equals, but you may also be interested in learning what 11 to the negative 1st power stands for.

Next is the summary of our content.

## Eleven to the First Power

You have reached the concluding section of eleven to the first power = 111. Eleven to the first power is, for example, the same as 11 to the power 1 or 11 to the 1 power.

Exponentiations like 111 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 11 power 1, what is 11 to the 1 power, 11 exponent 1 or 1 power of 11, then it’s safe to assume that you have found your answer as well.

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Posted in Powers of 11