# Let z 2

Let z = 2 - sqrt(3i). Find z

^{6}and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**arithmetic**- square root
**planimetrics**- triangle
**numbers**- complex numbers
**goniometry and trigonometry**- sine
- cosine
- tangent
- arctangent

#### Units of physical quantities:

#### Grade of the word problem:

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