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-1729 Cubed

-1729 cubed, (-1729)3, is the number you get when multiplying -1729 times -1729 times -1729.

It can also be looked at as exponentiation involving the base -1729 and the exponent 3.

The term is usually pronounced 3rd power of negative one thousand seven hundred twenty-nine or negative one thousand seven hundred twenty-nine cubed.

The cube of -1729 is a perfect cube because the number is the product of the three equal integers -1729.

It can be written as -1729 × -1729 × -1729 or in exponential form.

Read on to learn everything about the number negative one thousand seven hundred twenty-nine cubed, including useful identities.

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(-1729)3 = -5,168,743,489
-1729 × -1729 × -1729 = -5,168,743,489

The inverse operation of cubing -1729 is extracting the cube root of -1729, explained here.

In the next section we elaborate on the cube -1729.

What is -1729 Cubed?

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

Hence, a cube with side length -1729 has an area of -5,168,743,489.

The sum and the differences of two cubes, for example with side length -1729 and -1730, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = -1729, b = -1730 and the equivalence we get:
    (-1729)3 = -3459 x (-17292 – -1729 × -1730 + -17302) – -17303 = -3459 x (2989441 – 2991170 + 2992900) – -5177717000 = -3459 x 2991171 – -5177717000 = -5,168,743,489
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = -1729, b = -1730 and the equivalence we get:
    (-1729)3 = (-17292 + -1729 × -1730 + -17302) + -17303 = 2989441 + 2991170 + 2992900 + -5177717000 = -5,168,743,489
As follows from (1), -1729 cubed can be calculated from -1730 cubed and -1729 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(-1729)3 = (2 × -1729 – 1) × (-17292 – -1729 + 1) – (-1730)3 = -3459 × (2989441 – -1730) – -5177717000 = -3459 × 2991171 – -5177717000 = -5,168,743,489

Using the second formula -1729 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(-1729)3 = -17303 + 3 × -17292 – 3 × -1729 + 1 = -5177717000 + 3 × 2989441 – 3 × -1729 + 1 = -5177717000 + 8968323 – -5187 + 1 = -5,168,743,489

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

Just enter your number; nothing else to be done.

A cube similar to -1729 is, for example: cube of -1731.


Ahead, we discuss the frequently asked questions.

FAQs About -1729 Cubed

Click on the question which is of interest to you to see the collapsible content answer.

How Do You Find the Cube of -1729?

The cube of -1729 is -1729 × -1729 × -1729 = -5,168,743,489.

Is -1729 a Perfect Cube?

No, -1729 is the cube of the irrational number -12.0023143684.

What is the Cube Number of -1729?

-1729 cubed equals -5,168,743,489.

Is -1729 a Cube Number?

Yes, -1729 is the cube number of -12.0023143684.

What is the Cube of -1729?

The cube of -1729 is -5,168,743,489.

How Do You Write -1729 Cubed?

-1729 cubed can be written as (-1729)3 – a small 3 is placed to the top right of -1729 – or as (-1729)^3 .

How Do You Find the Cubed Root of -1729?

To compute the 3rd root of -1729 use a calculator, or employ a numerical approximation such as the Newton–Raphson method.

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 -1729.

Table

NumberCube
-1734-5,213,714,904
-1733-5,204,699,837
-1732-5,195,695,168
-1731-5,186,700,891
-1730-5,177,717,000
-1729-5,168,743,489
-1728-5,159,780,352
-1727-5,150,827,583
-1726-5,141,885,176
-1725-5,132,953,125
-1724-5,124,031,424

Negative One Thousand Seven Hundred Twenty-Nine Cubed

You now know everything about the cube -1729 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

-1729 cubed is equivalent to -5,168,743,489.

If you were searching for what is -1729 cubed in math or if you typed whats -1729 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube-1729, and -1729 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 -1729 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

-1729 cubed = -1729 x -1729 x -1729 = (-1729)3 = -1729 to the 3rd power = -5,168,743,489.

The exponentiation form is mostly used to denote -1729 cube.

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