Find Powers of Complex Numbers in Polar Form
- $\left[ 10 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 3 }$

question 7

Multiple Choice

Find Powers of Complex Numbers in Polar Form
- $\left[ 10 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 3 }$

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

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Definitions:

Glomerular Capillaries

A network of small blood vessels in the kidneys that are involved in the filtration of blood to form urine.

Detrusor Muscle

A smooth muscle layer of the bladder wall that contracts during urination to expel urine.

External Urethral Sphincter

A muscle that controls the flow of urine from the bladder through the urethra to the external body.

Internal Urethral Sphincter

The internal urethral sphincter is a muscle that surrounds the neck of the bladder, controlling the flow of urine from the urinary bladder into the urethra.