Home » Cubed Numbers » -3989 Cubed

# -3989 Cubed

-3989 cubed, (-3989)3, is the number you get when multiplying -3989 times -3989 times -3989.

It can also be looked at as exponentiation involving the base -3989 and the exponent 3.

The term is usually pronounced 3rd power of negative three thousand nine hundred eighty-nine or negative three thousand nine hundred eighty-nine cubed.

The cube of -3989 is a perfect cube because the number is the product of the three equal integers -3989.

It can be written as -3989 × -3989 × -3989 or in exponential form.

Read on to learn everything about the number negative three thousand nine hundred eighty-nine cubed, including useful identities.

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(-3989)3 = -63,473,450,669
-3989 × -3989 × -3989 = -63,473,450,669

The inverse operation of cubing -3989 is extracting the cube root of -3989, explained here.

In the next section we elaborate on the cube -3989.

## What is -3989 Cubed?

A cube is a three-dimensional shape with 6 equal square faces.

Hence, a cube with side length -3989 has an area of -63,473,450,669.

The sum and the differences of two cubes, for example with side length -3989 and -3990, can be calculated with the following formulas:

1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = -3989, b = -3990 and the equivalence we get:
(-3989)3 = -7979 x (-39892 – -3989 × -3990 + -39902) – -39903 = -7979 x (15912121 – 15916110 + 15920100) – -63521199000 = -7979 x 15916111 – -63521199000 = -63,473,450,669
2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = -3989, b = -3990 and the equivalence we get:
(-3989)3 = (-39892 + -3989 × -3990 + -39902) + -39903 = 15912121 + 15916110 + 15920100 + -63521199000 = -63,473,450,669

As follows from (1), -3989 cubed can be calculated from -3990 cubed and -3989 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(-3989)3 = (2 × -3989 – 1) × (-39892 – -3989 + 1) – (-3990)3 = -7979 × (15912121 – -3990) – -63521199000 = -7979 × 15916111 – -63521199000 = -63,473,450,669

Using the second formula -3989 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(-3989)3 = -39903 + 3 × -39892 – 3 × -3989 + 1 = -63521199000 + 3 × 15912121 – 3 × -3989 + 1 = -63521199000 + 47736363 – -11967 + 1 = -63,473,450,669

If you want to calculate the cube of any number, not only integers like three thousand nine hundred eighty-nine, you can use our calculator above.

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A cube similar to -3989 is, for example: cube of -3991.

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The following table contains the cubes of numbers close to -3989.

## Table

NumberCube
-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
-3984-63,235,067,904

## Negative Three Thousand Nine Hundred Eighty-Nine Cubed

You now know everything about the cube -3989 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

-3989 cubed is equivalent to -63,473,450,669.

If you were searching for what is -3989 cubed in math or if you typed whats -3989 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube-3989, and -3989 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 -3989 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

## Conclusion

To sum up,

-3989 cubed = -3989 x -3989 x -3989 = (-3989)3 = -3989 to the 3rd power = -63,473,450,669.

The exponentiation form is mostly used to denote -3989 cube.

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