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Question 1401d

Complex Numbers

Powers of Complex Numbers

Question

Evaluate

{(2 + \mathrm{i})^4.}

Attempt

Your answer:

Answer

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Core concepts

Powers I Multiplication Division

Powers II

Linear Eqn Quadratic Eqn I Comparing Real/Imaginary I

Conjugate Root Theorem Sum/Product of Roots

Polar I Polar II Polar III Real/Imaginary II Half Angle

Exam-style practice

1407 1408a 1408b 1410a 1410b 1411 1412 1413a 1413b 1414a 1414b 1415 1416 1417 1418 1419a 1419b 1420a 1420b 1421a 1421b

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