Question

Find the value of ${\left(-2\right)}^3\times {\left(-10\right)}^3$

Answer 1

Solve the given expression

Given ${\left(-2\right)}^3\times {\left(-10\right)}^3$

We know that,

$$\begin{gathered} p^n=p\times p\times p\times .....\left(ntimes\right) \\ \Rightarrow {\left(-2\right)}^3=\left(-2\right)\times \left(-2\right)\times \left(-2\right) \\ =-8 \\ \Rightarrow {\left(-10\right)}^3=\left(-10\right)\times \left(-10\right)\times \left(-10\right) \\ =-1000 \\ \therefore {\left(-2\right)}^3\times {\left(-10\right)}^3=\left(-8\right)\times \left(-1000\right)=8000 \end{gathered}$$

Hence, the value of ${(-2)}^3\times {(-10)}^3$ is $8000$