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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
- Represent the following complex numbers in the complex plane : i.
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- Evaluate the following: i^51.
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- Evaluate the following: 1/i.
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- Evaluate the following: i^(-71).
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- Evaluate the following: (i^37+1/i^67).
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- Evaluate the following: [i^18+(1/i)^25]^3.
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- Evaluate the following: sqrt(-81).
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- Evaluate the following: (sqrt(-2))^6.
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- Evaluate the following: sqrt(-25)xx sqrt(-49).
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- Evaluate the following: 2/3xx sqrt((-9)/16).
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- Evaluate the following: sqrt((-49)/25)xx sqrt((-1)/9).
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- Evaluate the following: sqrt(-16)+3 sqrt(-25)+ sqrt(-36) -sqrt(-625)...
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- Simplify : sqrt ((-x)/16)+ sqrt ((-x)/25)-sqrt ((-x)/36), where x is a...
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- Prove that : 1+i^2+i^4+i^6=0.
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- Prove that : i^12+i^13+i^14+i^15=0.
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- Prove that : i^104+i^109+i^114+i^119=0.
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- Prove that : 1/i-1/i^2+1/i^3-1/i^4=0.
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- Prove that : 6i^54+5i^37-2i^11+6i^68=7i.
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- Prove that : (i^592+i^590+i^588+i^586+i^584)/(i^582+ i^580+i^578+i^5...
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- Prove that : (1-i)^2= -2i.
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- Prove that : (1+i)^4 xx(1+1/i)^4=16.
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