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

Question 5

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(cos70+isin70) ) 3\left( 5 \left( \cos 70 ^ { \circ } + i \sin 70 ^ { \circ } \right) \right) ^ { 3 }


A) 108.2562.5i- 108.25 - 62.5 \mathrm { i }
B) 12.9962.5i- 12.99 - 62.5 \mathrm { i }
C) 170.75- 170.75
D) 12.99+62.5i- 12.99 + 62.5 \mathrm { i }

Correct Answer:

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