10 to the 4th Power

Welcome to 10 to the 4th power, our post about the mathematical operation exponentiation of 10 to the power of 4.

If you have been looking for 10 to the fourth power, or if you have been wondering about 10 exponent 4, then you also have come to the right place.

The number 10 is called the base, and the number 4 is called the exponent. In this post we are going to answer the question what is 10 to the 4th power.

Keep reading to learn everything about ten to the fourth power.

What is 10 to the 4th Power?

10 to the 4th power is conventionally written as 104, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 10^4.

104 stands for the mathematical operation exponentiation of ten by the power of four.

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

10 to the 4th power = \underbrace{ {\rm 10 \times\thinspace ... \times\thinspace 10} }_{\rm 4 \thickspace times}

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The exponent of the number 10, 4, also called index or power, denotes how many times to multiply the base (10).

Thus, we can answer what is 10 to the 4th power as

10 to the power of 4 = 104 = 10000.

If you have come here in search of an exponentiation different to 10 to the fourth power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 10 to the power of 4 as an example, insert 10 for the base and enter 4 as the index, also known as exponent or power.

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

10 to the 4th power is an exponentiation which belongs to the category powers of 10.

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

Ahead is more info related to 10 to the 4 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 10^4.

10 to the Power of 4

Reading all of the above, you already know most about 10 to the power of 4, 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, 10 to the power 4, and you will be taken to a result page with relevant posts.

Now, we would like to show you what the inverse operation of 10 to the 4th power, (104)−1, is. The inverse is the 4th root of 104, and the math goes as follows:

= \sqrt[4]{10^{4}}
= 10^{4/4}
= 10^{1}
= 10

Because the index of 4 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (104)−1 = \pm 10; the positive value is the principal root.

Make sure to understand that exponentiation is not commutative, which means that 104 ≠ 410, and also note that (104)-1 ≠ 10-4, the inverse and reciprocal of 104, respectively.

You already know what 10 to the power of 4 equals, but you may also be interested in learning what 10 to the negative 4th power stands for.

Next is the summary of our content.

Ten to the Fourth Power

You have reached the concluding section of ten to the fourth power = 104. Ten to the fourth power is, for example, the same as 10 to the power 4 or 10 to the 4 power.

Exponentiations like 104 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 10 power 4, what is 10 to the 4 power, 10 exponent 4 or 4 power of 10, then it’s safe to assume that you have found your answer as well.

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If you like to learn more about exponentiation, the mathematical operation conducted in 104, then check out the articles which you can locate in the header menu of our site.

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