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Welcome to 3 to the 77th power, our post about the mathematical operation exponentiation of 3 to the power of 77.
If you have been looking for 3 to the seventy-seventh power, or if you have been wondering about 3 exponent 77, then you also have come to the right place. 🙂
The number 3 is called the base, and the number 77 is called the exponent. In this post we are going to answer the question what is 3 to the 77th power.
Keep reading to learn everything about three to the seventy-seventh power.
What is 3 to the 77th Power?
3 to the 77th power is conventionally written as 377, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 3^77.
377 stands for the mathematical operation exponentiation of three by the power of seventy-seven.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 3, 77, also called index or power, denotes how many times to multiply the base (3).
Thus, we can answer what is 3 to the 77th power as
If you have come here in search of an exponentiation different to 3 to the seventy-seventh power, or if you like to experiment with bases and indices, then use our calculator above.
To stick with 3 to the power of 77 as an example, insert 3 for the base and enter 77 as the index, also known as exponent or power.
3 to the 77th 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 77 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 3^77.
3 to the Power of 77
Reading all of the above, you already know most about 3 to the power of 77, 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 77, 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 77th power, (377)−1, is. The inverse is the 77th root of 377, and the math goes as follows:
Because the index of 77 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (377)−1
Make sure to understand that exponentiation is not commutative, which means that 377 ≠ 773, and also note that (377)-1 ≠ 3-77, the inverse and reciprocal of 377, respectively.
You already know what 3 to the power of 77 equals, but you may also be interested in learning what 3 to the negative 77th power stands for.
Next is the summary of our content.
Three to the Seventy-seventh Power
You have reached the concluding section of three to the seventy-seventh power = 377. Three to the seventy-seventh power is, for example, the same as 3 to the power 77 or 3 to the 77 power.
Exponentiations like 377 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 77, what is 3 to the 77 power, 3 exponent 77 or 77 power of 3, then it’s safe to assume that you have found your answer as well.
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