Simplify the Expression $$\frac { \sqrt [ 3 ] { 27 x y ^ { 2 } } \cdot \sqrt [ 3 ] { 3 y ^ { 2 } } } { \sqrt [ 3 ] { 243 x y ^ { 4 } } }$$

question 609

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\frac { \sqrt [ 3 ] { 27 x y ^ { 2 } } \cdot \sqrt [ 3 ] { 3 y ^ { 2 } } } { \sqrt [ 3 ] { 243 x y ^ { 4 } } }$$

• A) \(\frac { \sqrt [ 3 ] { 9 } } { 3 }\)
• B) \(\frac { \sqrt [ 3 ] { 3 } } { 3 }\)
• C) \(\frac { \sqrt [ 3 ] { 9 } } { 9 }\)
• D) \(\sqrt [ 3 ] { 3 }\)

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Definitions:

Narcissism

A personality trait characterized by an excessive focus on oneself, a high need for admiration, and a lack of empathy for others.

Self-Efficacy

An individual's belief in their own ability to complete tasks and achieve goals.

Achievement Orientation

is a motivational state that drives individuals to pursue and attain goals or standards of excellence.

Assertiveness

A communication style and behavior characterized by confidence and directness, allowing an individual to express thoughts and desires openly while respecting others.