Step 1 : Analysis

Given :

\(|i^{500}|\)

Step 2 : Solution

\(Using\ i^{2}=-1\),

\(i^{500}=(i^{2})^{250}\)

\(i^{500}=(-1)^{250}\)

\(i^{500}=1\)

Now we will calculate \(|i^{500}|\),

\(|i^{500}|=|1|\)

\(|i^{500}|=1\)

Therefore the absolute value of \(|i^{500}|\) is 1

\(|i^{500}|=1\)