Use De Moivre's Theorem to Find the Indicated Power of the Complex

question 181

Multiple Choice

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.
- $( 1 + i ) ^ { 20 }$

• A) \(- 1024 i\)
• B) 1024
• C) \(1024 \mathrm { i }\)
• D) \(- 1024\)

---

Definitions:

Right Hemisphere

The right half of the brain, which is typically associated with creative thinking, visual-spatial skills, and processing the emotional content of language.

Diagram

A simplified drawing or plan that represents the essential features of something, often used for explanation or clarification.

Visual Agnosia

A disorder marked by an inability to recognize objects through sight, despite having normal eyesight.

Association Area

Regions of the brain that combine sensory and motor information to carry out complex cognitive tasks.