Find Powers of Complex Numbers in Polar Form
- $\left[ 2 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) \right] ^ { 5 }$

question 76

Multiple Choice

Find Powers of Complex Numbers in Polar Form
- $\left[ 2 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) \right] ^ { 5 }$

• A) \(- 128 + 128 i\)
• B) \(- 64 + 64 i\)
• C) \(- \sqrt { 2 } + \sqrt { 2 } i\)
• D) \(- 64 \sqrt { 2 } + 64 \sqrt { 2 } i\)

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