Simplify the Following Expression $$\left( \frac { 2 a ^ { 2 } \cdot a ^ { 3 } \cdot a ^ { 6 } } { 3 a ^ { 3 } \cdot a ^ { 2 } } \right) ^ { 3 }$$

question 44

Multiple Choice

Simplify the following expression. $$\left( \frac { 2 a ^ { 2 } \cdot a ^ { 3 } \cdot a ^ { 6 } } { 3 a ^ { 3 } \cdot a ^ { 2 } } \right) ^ { 3 }$$

• A) \(\frac { 8 a ^ { 18 } } { 27 }\)
• B) \(\frac { 8 a ^ { 24 } } { 27 }\)
• C) \(\frac { 2 a ^ { 11 } } { 3 a ^ { 5 } }\)
• D) \(\frac { 2 a ^ { 18 } } { 3 }\)
• E) \(\frac { 8 a ^ { 18 } } { 3 a ^ { 5 } }\)

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Definitions:

Milgram's Experiment

A series of social psychology experiments conducted by Stanley Milgram, which measured the willingness of study participants to obey an authority figure who instructed them to perform acts conflicting with their personal conscience.

Fully Obedient

Describes an individual or behavior that completely follows orders or instructions without question.

Electric Shocks

A sudden discharge of electricity through a part of the body, which can cause harm or discomfort.

Shock Plate

A device used in experimental research to deliver a mild electric shock to an animal subject as part of conditioning or testing.