Упростить 5i^11+4i^18-3i^32+2i^7/2i^4+3i^42-3i^61

Question

Упростить 5i^11+4i^18-3i^32+2i^7/2i^4+3i^42-3i^61

Comments

Упростить 5i^11+4i^18-3i^32+2i^17/2i^4+3i^42-3i^61

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Решите плез кто может

Answer 1

I²=-1⇒i^2n=-1
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(-5i-4+3-2i)/(-2-3+3i)=(-7i-1)/(3i-5)=(-7i-1)(3i+5)/[(3i-5)(3i+5)=
=(21-35i-3i-5)/(-9-25)=(16-38i)/(-34)=-8/17+19/17*i