( 1+i / 1 i #160; ) #160; ^ 24 ( 1+i / 1 i × 1+i / 1+i #160; ) #160; ^ 24 ( (i+i) ^ 2 / 1 i ^ 2 #160; ) #160; ^ 24 ( 1+ ...

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Complex Numbers

Solve 1+i1-...

Question

Solve ${(\frac{1 + i}{1 - i})}^{24}$

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Solution

${(\frac{1 + i}{1 - i})}^{24} {(\frac{1 + i}{1 - i} \times \frac{1 + i}{1 + i})}^{24} {(\frac{{(i + i)}^{2}}{1 - i^{2}})}^{24} {(\frac{1 + i^{2} + 2 i}{2})}^{24} {(\frac{1 - 1 + 2 i}{2})}^{24} i^{24} {{(i}^{2})}^{12} 1$

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