|(3+5i)^2(5-3i)^3 / (-3+5i)^3(-5-3i)^2 |
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|(3+5i)^2(5-3i)^3/(-3+5i)^3(-5-3i)^2||(3+5i)^2(5-3i)^3/(-3+5i)^3(-5-3i)^2||(3+5i)^2(5-3i)^3/(-3+5i)^
|(3+5i)^2(5-3i)^3 / (-3+5i)^3(-5-3i)^2 |
|(3+5i)^2(5-3i)^3 / (-3+5i)^3(-5-3i)^2 |
|(3+5i)^2(5-3i)^3 / (-3+5i)^3(-5-3i)^2 |
原式=[|(3+5i)^2|*|(5-3i)^3|]/[|(3-5i)^3|*|(5+3i)^2|]=[|-16+30i|*|16-30i|*|5-3i|]/[|16+30i|*|16+30i|*|-3+5i|]=1.
复数计算:(1)i+i^2+i^3+.+i^100(2)i^10+i^20+i^30+.+i^80(3)i*i^2*i^3*.*i^100(4)i*i^3*i^5*.*i^99(5)[(1+i)/(1-i)])[(1+i)/(1-i)]^2)[(1+i)/(1-i)]^3.)[(1+i)/(1-i)]^100
1+i-2i^2+3i^3-4i^4+5i^5
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I1-√2I+I√2-√3I+I√3-2I+I2-√5I+.+I√2010-√2011I
|(3+5i)^2(5-3i)^3 / (-3+5i)^3(-5-3i)^2 |
计算(1-2i)-(2-3i)+(3-4i)-(4-5i)=
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