Question

1+ i power 2n+1/1+i power 2n-1 find the conjugate answer within 5 mins

Answer 1

Hey there  !!!!!!!!!!!

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=(1+i)²ⁿ⁺¹/(1-i)²ⁿ⁻¹

Using aⁿ⁺ˣ=aⁿ*aˣ

=(1+i)²ⁿ*(1+i)/(1+i)²ⁿ*(1+i)⁻¹

=(1+i)/(1+i)⁻¹

Using aⁿ/aˣ=aⁿ⁻ˣ

=(1+i)¹⁻⁽⁻¹⁾=(1+i)² =1²+2i+i²

But i²=-1

(1+i)² =1+2i-1

         =2i

Conjugate of 2i is -2i

∴ Conjugate of (1+i)²ⁿ⁺¹/(1-i)²ⁿ⁻¹ is   -2i.

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Hope this helped you..............

Answer 2

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