(1 + i)^ 10 , where i^2 = - 1, is equal to - Vidyadip

MCQ

${(1 + i)^{10}}$, where ${i^2} = - 1,$ is equal to

✓
$32\ i$
B
$64 + i$
C
$24\ i -32$
D
None of these

✓

Answer

Correct option: A.

$32\ i$

a
(a) ${(1 + i)^{10}} = {[{(1 + i)^2}]^5} = {(2i)^5} = 32\,i$.

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