Perform the Indicated Operations and Simplify $\left( - 5 x ^ { 4 } y ^ { 4 } \right) ^ { 3 } \left( - x y ^ { 3 } \right) ^ { 3 }$

question 323

Multiple Choice

Perform the indicated operations and simplify. $\left( - 5 x ^ { 4 } y ^ { 4 } \right) ^ { 3 } \left( - x y ^ { 3 } \right) ^ { 3 }$

• A) \(125 x ^ { 15 } y ^ { 21 }\)
• B) \(- 125 x ^ { 15 } y ^ { 21 }\)
• C) \(125 x ^ { 15 } y ^ { 3 }\)
• D) \(- 125 x ^ { 10 } y ^ { 16 }\)
• E) \(125 x ^ { 10 } y ^ { 15 }\)

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Definitions:

NREM Sleep

Non-Rapid Eye Movement sleep, characterized by slower brain waves, which is divided into three stages and accounts for 75-80% of total sleep time.

Ascending Fibres

Nerve fibers that carry information from the body's sensory receptors upward to the brain, particularly pertinent to the sensory pathways.

Reticular Activating System

A network of neurons located in the brainstem that plays a central role in regulating wakefulness and sleep-wake transitions.

REM Sleep

A stage of sleep characterized by rapid eye movement, vivid dreams, and increased brain activity.