Simplify the Expression $$\sqrt [ 3 ] { 729 x ^ { 4 } y ^ { 5 } }$$

question 79

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt [ 3 ] { 729 x ^ { 4 } y ^ { 5 } }$$

• A) \(3 x ^ { 2 } y ^ { 2 } \sqrt [ 3 ] { x ^ { 2 } }\)
• B) \(9 x y \sqrt [ 3 ] { x y ^ { 2 } }\)
• C) \(9 x y ^ { 2 } \sqrt [ 3 ] { x y }\)
• D) \(9 x y \sqrt [ 3 ] { x y }\)

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Definitions:

Syndrome

A cluster of symptoms that usually occur together.

Naturalistic Observation

A research method in which subjects are observed in their natural environment without any manipulation by the observer.

American Psychiatric Association

A professional organization of psychiatrists dedicated to the diagnosis, treatment, prevention, and research of mental illnesses.

DSM-5

The fifth edition of the Diagnostic and Statistical Manual of Mental Disorders, a publication by the American Psychiatric Association that classifies and provides criteria for the diagnosis of mental disorders.