Question

Evaluate i^888 ? With steps
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Answer 1

To find:

$i^{888}$ = ?

Solution:

First of all, let us learn about $i$.

$i$ is the imaginary number whose value is given as:

$\bold{i=\sqrt{-1}}$

Now, let us square the above:

$\bold{i^2=-1}$

Let us square it once again and see the result:

$\bold{i^4=1}$ ...... (1)

Considering the given term whose value is to be found:

$i^{888}$ can be written as:

$(i^4)^{222}$

Using equation (1) putting $\bold{i^4=1}$:

$1^{222} = 1$

Because we know that 1 raised to any power is always equal to 1.

So, the answer is:

$i^{888}$ = 1