The correct option is C i The value of (i)^457 =(i)^456+1 =(i)^4× 114(i) = 1× i = i [∵ i^4n=1] ...

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Properties of Iota

i 457

Question

${(i)}^{457}$

- 1

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- i

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i

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1

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Solution

The correct option is C $i$
The value of $(i)^{457}$
$= (i)^{456 + 1}$
$= (i)^{4 \times 114} (i)$
$= 1 \times i$
$= i [∵ i^{4 n} = 1]$

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