2 to the power of negative 3

Since your exponent is negative, you will have to make a fraction. To make the exponent even, you will make #1# the numerator and #2# to the power of #3# the denominator.

Now that you have a fraction, and the exponent is no longer negative, you will keep #1# as the numerator and have #2*2*2# as the denominator.

You can simplify the denominator. #2# times #2# is #4# times #2# again, is #8#. The numerator is #1# and the denominator is #8#, which is the fraction #1/8#.

Also, #1# will always be the numerator when you are trying to simplify a number that has a negative exponent.

Welcome to 2 to the negative 3rd power, our post about the mathematical operation exponentiation of 2 to the power of -3.

If you have been looking for 2 to the negative third power, or if you have been wondering about 2 exponent minus 3, then you also have come to the right place. 🙂

The number 2 is called the base, and the number minus 3 is called the exponent. In this post we are going to answer the question what is 2 to the negative 3rd power.

Keep reading to learn everything about two to the negative third power.

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2 to the negative 3rd power is conventionally written as 2-3, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^-3.

2-3 stands for the mathematical operation exponentiation of two by the power of negative three.

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

The absolute value of the exponent of the number -3, 3, denotes how many times to multiply the base (2), and the power’s minus sign stands for reciprocal.

Thus, we can answer what is 2 to the negative 3rd power as

If you have come here in search of an exponentiation different to 2 to the negative third power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 2 to the power of negative 3 as an example, insert 2 for the base and enter -3 as the index, aka exponent or power.

2 to the negative 3rd power is an exponentiation which belongs to the category powers of 2.

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

• 2 to the negative 8th power
• 2 to the negative 9th power
• 2 to the negative 10th power

Ahead is more info related to 2 to the negative 3 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 2 to the power negative 3.

2 to the Power of -3

Reading all of the above, you already know most about 2 to the power of minus 3, 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, 2 to the power minus 3, and you will be taken to a result page with relevant posts.

Now, we would like to show you what the inverse operation of 2 to the negative 3rd power, (2-3)−1, is. The inverse is the 1 over the 3rd root of 23, and the math goes as follows:

Because the index of 3 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (23)−1

.

Make sure to understand that exponentiation is not commutative, which means that 2-3 ≠ -32, and also note that (2-3)-1 ≠ 23, the inverse and reciprocal of 2-3, respectively.

You already know what 2 to the power of minus 3 equals, but you may also be interested in learning what 2 to the 3rd power stands for.

Next is the summary of negative 3 power of 2.

Two to the Negative Third Power

You have reached the final part of two to the negative third power. Two to the negative third power is the same as 2 to the power minus 3 or 2 to the minus 3 power.

Exponentiations like 2-3 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 2 power -3, what is 2 to the negative 3 power, 2 exponent minus 3 or 3 negative power of 2, then it’s safe to assume that you have found your answer as well.

If our explanations have been useful to you, then please hit the like button to let your friends know about our site and this post 2 to the -3rd power.

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Conclusion

In summary,
If you like to learn more about exponentiation, the mathematical operation conducted in 2-3, then check out the articles which you can locate in the header menu of our site.

We appreciate all comments on 2^-3, and if you have a question don’t hesitate filling in the form at the bottom or sending us an email with the subject what is 2 to the negative 3rd power.

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