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-3990 cubed, (-3990)3, is the number you get when multiplying -3990 times -3990 times -3990.
It can also be looked at as exponentiation involving the base -3990 and the exponent 3.
The term is usually pronounced 3rd power of negative three thousand nine hundred ninety or negative three thousand nine hundred ninety cubed.
The cube of -3990 is a perfect cube because the number is the product of the three equal integers -3990.
It can be written as -3990 × -3990 × -3990 or in exponential form.
Read on to learn everything about the number negative three thousand nine hundred ninety cubed, including useful identities.
Calculator
-3990 × -3990 × -3990 = -63,521,199,000
The inverse operation of cubing -3990 is extracting the cube root of -3990, explained here.
In the next section we elaborate on the cube -3990.
What is -3990 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length -3990 has an area of -63,521,199,000.
The sum and the differences of two cubes, for example with side length -3990 and -3991, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = -3990, b = -3991 and the equivalence we get:
(-3990)3 = -7981 x (-39902 – -3990 × -3991 + -39912) – -39913 = -7981 x (15920100 – 15924090 + 15928081) – -63568971271 = -7981 x 15924091 – -63568971271 = -63,521,199,000 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = -3990, b = -3991 and the equivalence we get:
(-3990)3 = (-39902 + -3990 × -3991 + -39912) + -39913 = 15920100 + 15924090 + 15928081 + -63568971271 = -63,521,199,000
As follows from (1), -3990 cubed can be calculated from -3991 cubed and -3990 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(-3990)3 = (2 × -3990 – 1) × (-39902 – -3990 + 1) – (-3991)3 = -7981 × (15920100 – -3991) – -63568971271 = -7981 × 15924091 – -63568971271 = -63,521,199,000
Using the second formula -3990 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(-3990)3 = -39913 + 3 × -39902 – 3 × -3990 + 1 = -63568971271 + 3 × 15920100 – 3 × -3990 + 1 = -63568971271 + 47760300 – -11970 + 1 = -63,521,199,000
If you want to calculate the cube of any number, not only integers like three thousand nine hundred ninety, you can use our calculator above.
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A cube similar to -3990 is, for example: cube of -3992.
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The following table contains the cubes of numbers close to -3990.
Table
| Number | Cube |
|---|---|
| -3995 | -63,760,299,875 |
| -3994 | -63,712,431,784 |
| -3993 | -63,664,587,657 |
| -3992 | -63,616,767,488 |
| -3991 | -63,568,971,271 |
| -3990 | -63,521,199,000 |
| -3989 | -63,473,450,669 |
| -3988 | -63,425,726,272 |
| -3987 | -63,378,025,803 |
| -3986 | -63,330,349,256 |
| -3985 | -63,282,696,625 |
Negative Three Thousand Nine Hundred Ninety Cubed
You now know everything about the cube -3990 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
-3990 cubed is equivalent to -63,521,199,000.
If you were searching for what is -3990 cubed in math or if you typed whats -3990 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube-3990, and -3990 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 -3990 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
-3990 cubed = -3990 x -3990 x -3990 = (-3990)3 = -3990 to the 3rd power = -63,521,199,000.
The exponentiation form is mostly used to denote -3990 cube.
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– Article written by Mark, last updated on November 26th, 2023