Simplify the Expression $$\frac { \sqrt [ 3 ] { \mathrm { x } ^ { 2 } \mathrm { y } } \cdot \sqrt [ 3 ] { \mathrm { x } } } { \sqrt [ 3 ] { \mathrm { y } ^ { 2 } } }$$

question 68

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\frac { \sqrt [ 3 ] { \mathrm { x } ^ { 2 } \mathrm { y } } \cdot \sqrt [ 3 ] { \mathrm { x } } } { \sqrt [ 3 ] { \mathrm { y } ^ { 2 } } }$$

• A) \(x \sqrt [ 3 ] { y }\)
• B) \(\frac { x \sqrt [ 3 ] { y } } { y }\)
• C) \(x \sqrt [ 3 ] { y ^ { 2 } }\)
• D) \(\frac { x \sqrt [ 3 ] { y ^ { 2 } } } { y }\)

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Definitions:

Cricoid Cartilage

A ring-shaped cartilage found at the base of the larynx (voice box) and is important for maintaining an open airway.

Largest Cartilage

Refers to the thyroid cartilage, the largest cartilage in the larynx, which plays a crucial role in voice production.

Larynx

The voice box located in the throat, responsible for producing sound, protecting the airway during swallowing, and regulating breathing.

Rhin/o

A prefix in medical terminology referring to the nose.