Find the Given Power $$\left( - \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right] ^ { 10 }$$

question 324

Multiple Choice

Find the given power. Write answer in rectangular form.
- $$\left( - \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right] ^ { 10 }$$

• A) \(\frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i }\)
• B) \(- \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } \mathrm { i }\)
• C) \(\frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } \mathrm { i }\)
• D) \(- \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } i\)

---

Definitions:

Imaginary Audience

The other people who, in an adolescent’s egocentric belief, are watching and taking note of his or her appearance, ideas, and behavior. This belief makes many teenagers very self-conscious.

Prefrontal Cortex

The part of the brain located at the front of the frontal lobe, associated with complex cognitive behavior, personality expression, decision making, and moderating social behavior.

Limbic System

A complex system of nerves and networks in the brain, involved with instinct and mood control; it also plays a key role in emotions and memories.

Basal Ganglia

Groups of nuclei in the brain involved in coordinating movement as well as learning and behaviors that are associated with a reward.