Question

Find the value of the following: ${(-2)}^2\times {(-1)}^2$

Answer 1

Calculating the value of exponential expression

Given exponential expression is ${(-2)}^2\times {(-1)}^2$

We know that,

$$\begin{gathered} {(-x)}^n={\left(x\right)}^{n}1ifniseven \\ =-{\left(x\right)}^{n}ifnisodd \end{gathered}$$

Therefore,

$$\begin{gathered} {(-2)}^2\times {(-1)}^2=2^2\times 1^2\{\because \mathrm{n}=2,\mathrm{which}\mathrm{is}\mathrm{even}\} \\ =4 \end{gathered}$$

Hence, ${(-2)}^2\times {(-1)}^2=4$