Math, asked by dongarekrishna109, 7 months ago

i166 evaluate the following​

Answers

Answered by injamurisudarshan025
1

Answer:

I can't understand the question

iam sorry

Answered by Anonymous
2

Question :

Evaluate

 {i}^{166}

Answer :

Point to be known -

i =-1

i to the Power 4n comes 1

Here ,

 {i}^{166}

we would try to break the power in the form of (4n +x)

 {i}^{(4 \times 41) + 2}

 =  {i}^{4 n}  \times  {i}^{2}

here, n=41

 = 1 \times  { (\sqrt{ - 1} )}^{2}

 = 1 \times  - 1

 =  - 1

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