Simplify the Expression $$\sqrt [ 3 ] { - 27 a ^ { 8 } b ^ { 5 } }$$

question 395

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt [ 3 ] { - 27 a ^ { 8 } b ^ { 5 } }$$

• A) \(- 3 a ^ { 2 } b \sqrt [ 3 ] { a ^ { 2 } b ^ { 2 } }\)
• B) \(3 a b \sqrt [ 3 ] { a ^ { 3 } b ^ { 3 } }\)
• C) \(3 a b \sqrt [ 3 ] { a ^ { 2 } b ^ { 2 } }\)
• D) not a real number

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Definitions:

Atkinson And Shiffrin

A model of memory proposed by Richard Atkinson and Richard Shiffrin in 1968, describing three stages of memory: sensory memory, short-term memory, and long-term memory.

Automatic Processing

Cognitive activities that require little conscious thought or effort, often occurring without our awareness and capable of being performed simultaneously with other tasks.

Working Memory

A cognitive system with a limited capacity that is responsible for temporarily holding information available for processing, crucial for reasoning and the guidance of decision-making and behavior.

Atkinson And Shiffrin

Two cognitive psychologists who, in 1968, proposed the multi-store model of memory that outlines three distinct stages: sensory memory, short-term memory, and long-term memory.