| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2005 |
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| Session | November |
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| Topic | Complex Numbers Argand & Loci |
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1 Write down the fifth roots of unity. Hence, or otherwise, find all the roots of the equation
$$z ^ { 5 } = - 16 + ( 16 \sqrt { } 3 ) i$$
giving each root in the form \(r \mathrm { e } ^ { \mathrm { i } \theta }\).