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The premise of your question is false: -x³ is positive if x is negative.

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Q: Why is -x cube always negative for any nonzero value of x?
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Related questions

What is the minimum value of the cube root parent function?

The global minimum value is always negative infinity.


Why is it possible to find a real cube root of a negative number but not a real square root of a negative number?

You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .


Is the cube root of a negative number positive or negative?

The cube root of a negative number is negative


Can you find the cube root of a negative number If so is it positive or negative?

The cube root of a negative number is negative.


What is the answer to negative 2 cube root of 54?

Negative 2 (times) cube root of 54 = -7.55953 Negative 2 (plus) cube root of 54 = 1.77976


What is the value of a cube with length 7 cm?

The value depends on what the cube is made from! A cube does not have any intrinsic value.


How do you find the cube of a negative number?

The cube of a negative number is negative. Negative times negative is positive, but then you have the third multiplication, and positive times negative is negative. So for example (-2)3 = -8.


What is the probability of rolling a negative number on a number cube?

It depend how many negative numbers are written on the cube.


Do negative numbers have cube roots cube roots?

Yes.


Can a negative have a cube root?

Yes as for example the cube root of -27 is -3


Why can you cube root a negative number but you cannot square root a negative number?

When two negative or two positive numbers are multiplied together, they always result in a positive number; and when a positive and a negative number are multiplied together, they will always result in a negative number. Thus, you cannot square root a negative number because there are no real numbers that, when squared, would result in a negative number. For example: (-2)(-2) = 4 (2)(2) = 4 √4 = +/- 2 √(-4) = ? No real number, when squared, is a negative! Does not exist! The cube of a number is different, because you are multiplying three numbers together instead of just two. As a result, you can get a negative or a positive number. For example: (-2)(-2)(-2) = -8r (2)(2)(2) = 8 3√8 = 2 3√(-8) = -2


How many real cube roots does any positive number have?

there is no cube roots in negative