Question

evaluate the following i^899 = ?​

Answer 1

ANSWER :-

$\longmapsto \bold \red{ - i}$

$\:$

TO DO :-

$\longmapsto \bold{evaluate \: \: \red{ i {}^{899}} }$

$\:$

SOLUTION :-

$\longmapsto \bold{i {}^{896 + 3} }$

$\longmapsto \bold{i {}^{896} \times i {}^{3} }$

$\longmapsto \bold{1 \times ( - i)}$

$\longmapsto \bold \red{ - i}$

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$\bold \pink{♠ \: HENCE ~SOLVED \: ♠}$