Table of Contents
-3999 cubed, (-3999)3, is the number you get when multiplying -3999 times -3999 times -3999.
It can also be looked at as exponentiation involving the base -3999 and the exponent 3.
The term is usually pronounced 3rd power of negative three thousand nine hundred ninety-nine or negative three thousand nine hundred ninety-nine cubed.
The cube of -3999 is a perfect cube because the number is the product of the three equal integers -3999.
It can be written as -3999 × -3999 × -3999 or in exponential form.
Read on to learn everything about the number negative three thousand nine hundred ninety-nine cubed, including useful identities.
Calculator
-3999 × -3999 × -3999 = -63,952,011,999
The inverse operation of cubing -3999 is extracting the cube root of -3999, explained here.
In the next section we elaborate on the cube -3999.
What is -3999 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length -3999 has an area of -63,952,011,999.
The sum and the differences of two cubes, for example with side length -3999 and -4000, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = -3999, b = -4000 and the equivalence we get:
(-3999)3 = -7999 x (-39992 – -3999 × -4000 + -40002) – -40003 = -7999 x (15992001 – 15996000 + 16000000) – -64000000000 = -7999 x 15996001 – -64000000000 = -63,952,011,999 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = -3999, b = -4000 and the equivalence we get:
(-3999)3 = (-39992 + -3999 × -4000 + -40002) + -40003 = 15992001 + 15996000 + 16000000 + -64000000000 = -63,952,011,999
As follows from (1), -3999 cubed can be calculated from -4000 cubed and -3999 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(-3999)3 = (2 × -3999 – 1) × (-39992 – -3999 + 1) – (-4000)3 = -7999 × (15992001 – -4000) – -64000000000 = -7999 × 15996001 – -64000000000 = -63,952,011,999
Using the second formula -3999 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(-3999)3 = -40003 + 3 × -39992 – 3 × -3999 + 1 = -64000000000 + 3 × 15992001 – 3 × -3999 + 1 = -64000000000 + 47976003 – -11997 + 1 = -63,952,011,999
If you want to calculate the cube of any number, not only integers like three thousand nine hundred ninety-nine, you can use our calculator above.
Just enter your number; nothing else to be done.
A cube similar to -3999 is, for example: cube of -3.
If something remains unclear do not hesitate getting in touch with us.
We are constantly trying to improve our site, and truly appreciate your feedback.
The following table contains the cubes of numbers close to -3999.
Table
| Number | Cube |
|---|---|
| -4004 | -64,192,192,064 |
| -4003 | -64,144,108,027 |
| -4002 | -64,096,048,008 |
| -4001 | -64,048,012,001 |
| -4000 | -64,000,000,000 |
| -3999 | -63,952,011,999 |
| -3998 | -63,904,047,992 |
| -3997 | -63,856,107,973 |
| -3996 | -63,808,191,936 |
| -3995 | -63,760,299,875 |
| -3994 | -63,712,431,784 |
Negative Three Thousand Nine Hundred Ninety-Nine Cubed
You now know everything about the cube -3999 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
-3999 cubed is equivalent to -63,952,011,999.
If you were searching for what is -3999 cubed in math or if you typed whats -3999 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube-3999, and -3999 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 -3999 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
-3999 cubed = -3999 x -3999 x -3999 = (-3999)3 = -3999 to the 3rd power = -63,952,011,999.
The exponentiation form is mostly used to denote -3999 cube.
If this article about the cube of negative 3999 has helped you then please share it by means of the social buttons.
And should you want to leave a comment related to negative 3999 cubed use the form below.
Last, but no least: Don’t forget to install our free PWA app (see menu or sidebar)!
Websites which are related to this one can be found in the “recommended sites” section in the sidebar.
Last, but not least, don’t forget to install our absolutely free PWA app (see menu or sidebar), or to bookmark us.
And come back soon!
Thanks for visiting -3999 cubed.
– Article written by Mark, last updated on November 26th, 2023