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

question 114

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:

Charles I

A 17th-century king of England, Scotland, and Ireland, whose conflicts with parliament led to the English Civil War and ultimately his execution in 1649.

Anglican Book

Refers to a book of liturgy or religious doctrine used by the Anglican Church, such as the Book of Common Prayer.

Common Prayer

Refers to the set of prayers or worship practices used in common by a religious community, notably seen in the Book of Common Prayer in Anglican tradition.

Oliver Cromwell

A leading figure in English history, who led the Parliamentary forces during the English Civil War and later ruled as Lord Protector.