Math, asked by drspandey19p1nfjr, 8 months ago

express i^109 in the form of
a + ib​

Answers

Answered by pulakmath007
11

SOLUTION

TO EXPRESS

 \sf{ {i}^{109} \: \: in \: form \: of \: a + ib }

EVALUATION

Here the given equation complex number is

 \sf{ {i}^{109} }

We simplify it as below

 \sf{ {(i)}^{109} }

 \sf{ = {(i)}^{108} \times i}

 \sf{ = {( {i}^{2} )}^{54} \times i}

 \sf{ = {( - 1 )}^{54} \times i}

 \sf{ = 1 \times i}

 \sf{ = i}

Which is of the form a + ib

Where a = 0 & b = 1

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