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Welcome to 10 to the negative 40th power, our post about the mathematical operation exponentiation of 10 to the power of -40.
If you have been looking for 10 to the negative fortieth power, or if you have been wondering about 10 exponent minus 40, then you also have come to the right place. 🙂
The number 10 is called the base, and the number minus 40 is called the exponent. In this post we are going to answer the question what is 10 to the negative 40th power.
Keep reading to learn everything about ten to the negative fortieth power.
What is 10 to the Negative 40th Power?
10 to the negative 40th power is conventionally written as 10-40, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 10^-40.
10-40 stands for the mathematical operation exponentiation of ten by the power of negative forty.
As the exponent is a negative integer, exponentiation means the reciprocal of a repeated multiplication:
The absolute value of the exponent of the number -40, 40, denotes how many times to multiply the base (10), and the power’s minus sign stands for reciprocal.
Thus, we can answer what is 10 to the negative 40th power as
If you have come here in search of an exponentiation different to 10 to the negative fortieth power, or if you like to experiment with bases and indices, then use our calculator above.
To stick with 10 to the power of negative 40 as an example, insert 10 for the base and enter -40 as the index, aka exponent or power.
10 to the negative 40th 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 negative 40 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 10 to the power negative 40.
10 to the Power of -40
Reading all of the above, you already know most about 10 to the power of minus 40, 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 minus 40, 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 negative 40th power, (10-40)−1, is. The inverse is the 1 over the 40th root of 1040, and the math goes as follows:
Because the index -40 is a multiple of 2, which means even, in contrast to odd numbers, the operation produces two results: (10-40)−1 =
; the positive value is the principal root.
Make sure to understand that exponentiation is not commutative, which means that 10-40 ≠ -4010, and also note that (10-40)-1 ≠ 1040, the inverse and reciprocal of 10-40, respectively.
You already know what 10 to the power of minus 40 equals, but you may also be interested in learning what 10 to the 40th power stands for.
Next is the summary of negative 40 power of 10.
Ten to the Negative Fortieth Power
You have reached the final part of ten to the negative fortieth power. Ten to the negative fortieth power is the same as 10 to the power minus 40 or 10 to the minus 40 power.
Exponentiations like 10-40 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 -40, what is 10 to the negative 40 power, 10 exponent minus 40 or 40 negative power of 10, then it’s safe to assume that you have found your answer as well.
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