Question

How do you find the power of $i$ $?$

Answer 1

Finding the powers of $i$ :

In maths, $i$(iota) is called the imaginary number and is equal to the square root of negative $1,i.e.i=\sqrt{-1}.$

The powers of $i$ can be calculated as given below:

$i^2={\left(\sqrt{-1}\right)}^2=-1$

$i^3=i\left(i^2\right)=i(-1)=-i$

$i^4=\left(i^2\right)\left(i^2\right)=(-1)(-1)=1$

$i^5=i\left(i^4\right)=i\left(1\right)=i$

and so on.

Hence, In this way we can find the power of I.