Simplify Express Your Answer with Positive Exponents $$\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }$$

question 130

Multiple Choice

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
- $$\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }$$

• A) \(\frac { y ^ { 7 } } { 4 x ^ { 7 } z ^ { 6 } }\)
• B) \(\frac { x ^ { 10 } z ^ { 8 } } { - 4 y ^ { - 10 } }\)
• C) \(\frac { y ^ { 7 } } { - 4 x ^ { 7 } z ^ { 6 } }\)
• D) \(\frac { x ^ { 10 } z ^ { 8 } } { 4 y ^ { 10 } }\)

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Definitions:

Participant Observation

A qualitative research method in sociology where the researcher immerses themselves in a group or community to observe and participate in their activities, in order to better understand their behaviors, beliefs, and interactions.

Rationalizations

The process of attempting to logically justify behaviors or attitudes with plausible but not always genuine reasons.

Criminals

Individuals who have committed actions that violate laws and are therefore subject to legal penalties.

Participant Observation

A qualitative research method in which the researcher immerses themselves in the environment they are studying, participating in the activities while observing the setting and individuals within it.