Write the complex number $i^17$ in standard form?

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Answer 1 · 2015-05-22T23:52:52

With $i$ , it's important to know how its exponents cycle:

$i = i$
$i^2 = -1$
$i^3 = -i$
$i^4 = 1$
$i^5 = i$
and so on.

Every 4 exponents, the cycle repeats. For every multiple of 4 (let's call it 'n'), $i^n$ = 1.

$i^17$ = $i^16 times i$ = $1 times i$ = $i$

So, $i^17$ is just $i$ .

Write the complex number i^17i^17 in standard form?