Use DeMoivre's Theorem to Find the Indicated Power of the Following

question 24

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the following complex number.
$$( 5 + 5 \sqrt { 3 } i ) ^ { 6 }$$

• A) \(1,953,125\)
• B) 390,625
• C) 78,125
• D) \(1,000,000\)
• E) 3,125

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Definitions:

Multiple Causes

The principle that complex events or outcomes typically result from a combination of various factors, not just a single cause.

Sociohistorical Context

The social, historical, and cultural background or environment in which an event or phenomenon occurs.

World War I

A global conflict that lasted from 1914 to 1918, involving many of the world's great powers, characterized by trench warfare and massive casualties.

World War II

A global conflict that lasted from 1939 to 1945, involving most of the world's nations and marked by significant events like the Holocaust and the use of atomic bombs on Japan.