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

question 72

Multiple Choice

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.
- $( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

• A) \(500 \sqrt { 2 } + 500 \sqrt { 2 } \mathrm { i }\)
• B) \(50 \sqrt { 2 } + 50 \sqrt { 2 } i\)
• C) \(5 \sqrt { 2 } + 5 \sqrt { 2 } \mathrm { i }\)
• D) \(15 \sqrt { 2 } + 15 \sqrt { 2 } i\)

Identify the characteristics and skeletal adaptations of different groups of animals.

Understand the evolutionary significance of the notochord and its role in vertebrate development.

Classify animal species based on physical and genetic traits.

Explain the evolution of fishes to terrestrial animals, including both skeletal and nonskeletal adaptations.

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Adolescence

Describes the transitional stage of physical and psychological development that typically occurs between childhood and adulthood, characterized by significant changes in body, identity, and social relationships.

Unemployment

The condition of being jobless and actively seeking work, representing a measure of the health of an economy.

Conscientiousness

A personality trait characterized by thoroughness, caution, and the tendency to strive for achievement, self-discipline, and dutifulness.

Motivational Trait

Personal characteristics that influence an individual’s tendency to pursue goals with energy and persistence.