Table of Contents
-3980 cubed, (-3980)3, is the number you get when multiplying -3980 times -3980 times -3980.
It can also be looked at as exponentiation involving the base -3980 and the exponent 3.
The term is usually pronounced 3rd power of negative three thousand nine hundred eighty or negative three thousand nine hundred eighty cubed.
The cube of -3980 is a perfect cube because the number is the product of the three equal integers -3980.
It can be written as -3980 × -3980 × -3980 or in exponential form.
Read on to learn everything about the number negative three thousand nine hundred eighty cubed, including useful identities.
Calculator
-3980 × -3980 × -3980 = -63,044,792,000
The inverse operation of cubing -3980 is extracting the cube root of -3980, explained here.
In the next section we elaborate on the cube -3980.
What is -3980 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length -3980 has an area of -63,044,792,000.
The sum and the differences of two cubes, for example with side length -3980 and -3981, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = -3980, b = -3981 and the equivalence we get:
(-3980)3 = -7961 x (-39802 – -3980 × -3981 + -39812) – -39813 = -7961 x (15840400 – 15844380 + 15848361) – -63092325141 = -7961 x 15844381 – -63092325141 = -63,044,792,000 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = -3980, b = -3981 and the equivalence we get:
(-3980)3 = (-39802 + -3980 × -3981 + -39812) + -39813 = 15840400 + 15844380 + 15848361 + -63092325141 = -63,044,792,000
As follows from (1), -3980 cubed can be calculated from -3981 cubed and -3980 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(-3980)3 = (2 × -3980 – 1) × (-39802 – -3980 + 1) – (-3981)3 = -7961 × (15840400 – -3981) – -63092325141 = -7961 × 15844381 – -63092325141 = -63,044,792,000
Using the second formula -3980 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(-3980)3 = -39813 + 3 × -39802 – 3 × -3980 + 1 = -63092325141 + 3 × 15840400 – 3 × -3980 + 1 = -63092325141 + 47521200 – -11940 + 1 = -63,044,792,000
If you want to calculate the cube of any number, not only integers like three thousand nine hundred eighty, you can use our calculator above.
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A cube similar to -3980 is, for example: cube of -3982.
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The following table contains the cubes of numbers close to -3980.
Table
| Number | Cube |
|---|---|
| -3985 | -63,282,696,625 |
| -3984 | -63,235,067,904 |
| -3983 | -63,187,463,087 |
| -3982 | -63,139,882,168 |
| -3981 | -63,092,325,141 |
| -3980 | -63,044,792,000 |
| -3979 | -62,997,282,739 |
| -3978 | -62,949,797,352 |
| -3977 | -62,902,335,833 |
| -3976 | -62,854,898,176 |
| -3975 | -62,807,484,375 |
Negative Three Thousand Nine Hundred Eighty Cubed
You now know everything about the cube -3980 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
-3980 cubed is equivalent to -63,044,792,000.
If you were searching for what is -3980 cubed in math or if you typed whats -3980 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube-3980, and -3980 to the 3rd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect cubes including -3980 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
-3980 cubed = -3980 x -3980 x -3980 = (-3980)3 = -3980 to the 3rd power = -63,044,792,000.
The exponentiation form is mostly used to denote -3980 cube.
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– Article written by Mark, last updated on November 26th, 2023