Question

Find the cube of $\left(-12\right)$.

Answer 1

Calculation of the cube of $\left(-12\right)$

The cube of $\left(-12\right)$ can be calculated as follows,

${\left(-12\right)}^3=\left(-12\right)\times \left(-12\right)\times \left(-12\right)$

$\Rightarrow {\left(-12\right)}^3=144\times \left(-12\right)$ $\left[\because \left(-n\right)\times \left(-n\right)=+\left(n\times n\right)\right]$

$\Rightarrow {\left(-12\right)}^3=-1728$ $\left[\because \left(+n\right)\times \left(-n\right)=-\left(n\times n\right)\right]$

Hence, the cube of $\left(-12\right)$ is $-1728$.