Question

Find the absolute value. |i^{500}|

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asked 2021-05-31
Find the absolute value.
\(|i^{500}|\)

Answers (1)

2021-06-01

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

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