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

question 49

Multiple Choice

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

• A) 0
• B) \(10 \mathrm { i }\)
• C) \(- 32 i\)
• D) \(32 \mathrm { i }\)