Home » Cubed Numbers » -3984 Cubed

# -3984 Cubed

-3984 cubed, (-3984)3, is the number you get when multiplying -3984 times -3984 times -3984.

It can also be looked at as exponentiation involving the base -3984 and the exponent 3.

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

The cube of -3984 is a perfect cube because the number is the product of the three equal integers -3984.

It can be written as -3984 × -3984 × -3984 or in exponential form.

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

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(-3984)3 = -63,235,067,904
-3984 × -3984 × -3984 = -63,235,067,904

The inverse operation of cubing -3984 is extracting the cube root of -3984, explained here.

In the next section we elaborate on the cube -3984.

## What is -3984 Cubed?

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

Hence, a cube with side length -3984 has an area of -63,235,067,904.

The sum and the differences of two cubes, for example with side length -3984 and -3985, can be calculated with the following formulas:

1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = -3984, b = -3985 and the equivalence we get:
(-3984)3 = -7969 x (-39842 – -3984 × -3985 + -39852) – -39853 = -7969 x (15872256 – 15876240 + 15880225) – -63282696625 = -7969 x 15876241 – -63282696625 = -63,235,067,904
2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = -3984, b = -3985 and the equivalence we get:
(-3984)3 = (-39842 + -3984 × -3985 + -39852) + -39853 = 15872256 + 15876240 + 15880225 + -63282696625 = -63,235,067,904

As follows from (1), -3984 cubed can be calculated from -3985 cubed and -3984 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(-3984)3 = (2 × -3984 – 1) × (-39842 – -3984 + 1) – (-3985)3 = -7969 × (15872256 – -3985) – -63282696625 = -7969 × 15876241 – -63282696625 = -63,235,067,904

Using the second formula -3984 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(-3984)3 = -39853 + 3 × -39842 – 3 × -3984 + 1 = -63282696625 + 3 × 15872256 – 3 × -3984 + 1 = -63282696625 + 47616768 – -11952 + 1 = -63,235,067,904

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

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A cube similar to -3984 is, for example: cube of -3986.

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The following table contains the cubes of numbers close to -3984.

## Table

NumberCube
-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
-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

## Negative Three Thousand Nine Hundred Eighty-Four Cubed

You now know everything about the cube -3984 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

-3984 cubed is equivalent to -63,235,067,904.

If you were searching for what is -3984 cubed in math or if you typed whats -3984 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube-3984, and -3984 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 -3984 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

## Conclusion

To sum up,

-3984 cubed = -3984 x -3984 x -3984 = (-3984)3 = -3984 to the 3rd power = -63,235,067,904.

The exponentiation form is mostly used to denote -3984 cube.

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