Simplify $\frac { \left( 2 x ^ { - 3 } y \right) ^ { - 2 } } { x ^ { 4 } y ^ { - 6 } }$

question 291

Multiple Choice

Simplify: $\frac { \left( 2 x ^ { - 3 } y \right) ^ { - 2 } } { x ^ { 4 } y ^ { - 6 } }$

• A) \(- 4 x ^ { 2 } y ^ { 4 }\)
• B) \(\frac { x ^ { 2 } y ^ { 4 } } { 4 }\)
• C) \(\frac { x ^ { 2 } } { 4 y ^ { 8 } }\)
• D) none of these

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Definitions:

Anxious Cluster

Refers to a group of personality disorders characterized by high levels of anxiety and fearfulness, including avoidant, dependent, and obsessive-compulsive personality disorders.

Eccentric

Characterized by or exhibiting unconventional and slightly strange behaviors or attitudes.

Psychopathic Traits

Characteristics often observed in individuals with psychopathy, including a lack of empathy, shallow emotions, and manipulativeness.

Impulsively

Acting or done without forethought, often as a result of an immediate stimuli or emotion rather than through consideration of potential consequences.