Write the Answer as a Single Term and Simplify $$\frac { 1 } { 3 } \left( \frac { 3 x } { x + 7 } \right) ^ { - 1 / 2 } \left( \frac { ( x + 7 ) ( 3 ) - 3 x } { ( x + 7 ) ^ { 2 } } \right)$$

question 119

Multiple Choice

Write the answer as a single term and simplify.
- $$\frac { 1 } { 3 } \left( \frac { 3 x } { x + 7 } \right) ^ { - 1 / 2 } \left( \frac { ( x + 7 ) ( 3 ) - 3 x } { ( x + 7 ) ^ { 2 } } \right)$$

• A) \(\frac { 21 } { ( 3 x ) ^ { 1 / 2 } ( x + 7 ) ^ { 3 / 2 } }\)
• B) \(\frac { 7 } { ( 3 x ) ^ { 1 / 2 ( x + 7 ) ^ { 3 / 2 } } }\)
• C) \(\frac { 3 x ^ { 1 / 2 } } { ( x + 7 ) ^ { 3 / 2 } }\)
• D) \(\frac { 7 } { ( 3 x ) ^ { 1 / 2 } ( x + 7 ) ^ { 5 / 2 } }\)

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Definitions:

Long-Term

Referring to a prolonged period of time, often used in the context of memory or investments spanning years or decades.

Episodic

Related to or occurring in distinct periods or episodes; often used in the context of memory as episodic memory, which pertains to the recollection of specific life events.

Semantic

Relating to meaning in language or logic, especially the meanings of words and symbols.

Implicit

Unconscious or automatic influences on behaviors, thoughts, or feelings that occur without conscious awareness.