Question

To solve this we should know about:
Cube: a cube is a number multiplied by itself three times
To find a cube of a given term we first multiply the same term three times to its own. We should keep in mind that we also have to multiply minus signs.

Answer 1

Hint: To solve this we should know about:
Cube: a cube is a number multiplied by itself three times
To find a cube of a given term we first multiply the same term three times to its own. We should keep in mind we have to also multiply minus signs.

Complete answer:As we have to find a cube of \[ - 11\] .
So, we will have to multiply the same number by three times.
So, mathematically we can write cube as $ - {11^3}$
So, to find its roots,
We multiply it three time as,
\[ - {11^3} = - 11 \times - 11 \times - 11\]
As we know $( - ) \times ( - ) = + $ multiplication of minus gives us a positive symbol and $( - ) \times ( + ) = - $. It means multiplication of minus and plus symbols give minus symbols.
So, here are three minus symbol when we multiply First to we get a positive symbol as, $( - ) \times ( - ) = + $
And after multiplication of minus and plus symbols give minus symbols. As, $( - ) \times ( + ) = - $
So, we can conclude the term will be negative.
Do multiplication of 11 will be $11 \times 11 \times 11 = 1331$
As we had concluded the answer will be negative so,
\[ - {11^3} = - 1331\]
Hence -1331 will be our answer.

Note:
When we have to find a cube of a positive integer then we will simply multiply it three times but as when we have to find a cube of negative term then we have to keep in mind the negative symbol. Simply we can say a cube of positive integers will be positive and for a negative number will be negative.