Home » Cubed Numbers » -3990 Cubed

# -3990 Cubed

-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.

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(-3990)3 = -63,521,199,000
-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:

1. 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
2. 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

NumberCube
-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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