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## Algebra (all content)

### Unit 16: Lesson 10

Multiplying & dividing complex numbers in polar form

# Powers of complex numbers

You might need: Calculator

## Problem

Consider the complex number z, equals, 2, square root of, 2, end square root, minus, 2, square root of, 2, end square root, i.
What is z, start superscript, 4, end superscript?
Hint: z has a modulus of 4 and an argument of 315, degree.