# 11 to the Negative 1st Power

Welcome to 11 to the negative 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 negative first power, or if you have been wondering about 11 exponent minus 1, then you also have come to the right place.

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

Keep reading to learn everything about eleven to the negative first power.

## What is 11 to the Negative 1st Power?

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

11-1 stands for the mathematical operation exponentiation of eleven by the power of negative one.

As the exponent is a negative integer, exponentiation means the reciprocal of a repeated multiplication:

11 to the negative 1st power = \frac{1}{\underbrace{ {\rm 11 \times\thinspace ... \times\thinspace 11} }_{\rm 1 \thickspace times}} The absolute value of the exponent of the number -1, 1, denotes how many times to multiply the base (11), and the power’s minus sign stands for reciprocal.

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

11 to the power of minus 1 = 11-1 = 1 / 11.

If you have come here in search of an exponentiation different to 11 to the negative 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 negative 1 as an example, insert 11 for the base and enter -1 as the index, aka exponent or power.

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

11 to the negative 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 negative 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 to the power negative 1.

## 11 to the Power of -1

Reading all of the above, you already know most about 11 to the power of minus 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 minus 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 negative 1st power, (11-1)−1, is. The inverse is the 1 over the 1st root of 111, and the math goes as follows:

(11-1)−1
= \frac{1}{\sqrt{11^{1}}}
= \frac{1}{11^{1/1}}
= \frac{1}{11^{1}}
= \frac{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 = \frac{1}{11}.

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

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

Next is the summary of negative 1 power of 11.

## Eleven to the Negative First Power

You have reached the final part of eleven to the negative first power. Eleven to the negative first power is the same as 11 to the power minus 1 or 11 to the minus 1 power.

Exponentiations like 11-1 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 negative 1 power, 11 exponent minus 1 or 1 negative 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