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Welcome to 3 to the 84th power, our post about the mathematical operation exponentiation of 3 to the power of 84.
If you have been looking for 3 to the eighty-fourth power, or if you have been wondering about 3 exponent 84, then you also have come to the right place. 🙂
The number 3 is called the base, and the number 84 is called the exponent. In this post we are going to answer the question what is 3 to the 84th power.
Keep reading to learn everything about three to the eighty-fourth power.
What is 3 to the 84th Power?
3 to the 84th power is conventionally written as 384, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^84.
384 stands for the mathematical operation exponentiation of three by the power of eighty-four.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 3, 84, also called index or power, denotes how many times to multiply the base (3).
Thus, we can answer what is 3 to the 84th power as
If you have come here in search of an exponentiation different to 3 to the eighty-fourth power, or if you like to experiment with bases and indices, then use our calculator above.
To stick with 3 to the power of 84 as an example, insert 3 for the base and enter 84 as the index, also known as exponent or power.
3 to the 84th power is an exponentiation which belongs to the category powers of 3.
Similar exponentiations on our site in this category include, but are not limited, to:
Ahead is more info related to 3 to the 84 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^84.
3 to the Power of 84
Reading all of the above, you already know most about 3 to the power of 84, 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, 3 to the power 84, and you will be taken to a result page with relevant posts.
Now, we would like to show you what the inverse operation of 3 to the 84th power, (384)−1, is. The inverse is the 84th root of 384, and the math goes as follows:
Because the index of 84 is a multiple of 2, which is even, in contrast to odd numbers, the operation produces two results: (384)−1
; the positive value is the principal root.
Make sure to understand that exponentiation is not commutative, which means that 384 ≠ 843, and also note that (384)-1 ≠ 3-84, the inverse and reciprocal of 384, respectively.
You already know what 3 to the power of 84 equals, but you may also be interested in learning what 3 to the negative 84th power stands for.
Next is the summary of our content.
Three to the Eighty-fourth Power
You have reached the concluding section of three to the eighty-fourth power = 384. Three to the eighty-fourth power is, for example, the same as 3 to the power 84 or 3 to the 84 power.
Exponentiations like 384 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 3 power 84, what is 3 to the 84 power, 3 exponent 84 or 84 power of 3, then it’s safe to assume that you have found your answer as well.
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