Question

Calculate the value of the following :

${\left(-1\right)}^{10}$

Answer 1

Given ,

The expression is ${\left(-1\right)}^{10}$

$$\begin{gathered} =\left(-1\right)\times \left(-1\right)\times \left(-1\right)\times \left(-1\right)\times \left(-1\right)\times \left(-1\right)\times \left(-1\right)\times \left(-1\right)\times \left(-1\right)\times \left(-1\right) \\ =1 \end{gathered}$$

[ ${\left(-1\right)}^n=$Positive , when $n$ is even number

and ${\left(-1\right)}^n=$Negative , when $n$ is odd number]

Hence, the required value is $1$.