Simplify the Expression $\left( \frac { 5 x ^ { - 5 } y ^ { 5 } z ^ { - 7 } } { 20 x ^ { 6 } y ^ { 10 } z ^ { - 12 } } \right) ^ { 3 }$

question 55

Multiple Choice

Simplify the expression. $\left( \frac { 5 x ^ { - 5 } y ^ { 5 } z ^ { - 7 } } { 20 x ^ { 6 } y ^ { 10 } z ^ { - 12 } } \right) ^ { 3 }$ Write the answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined.

• A)\(\frac { z ^ { 5 } } { 4 x ^ { 33 } y ^ { 15 } }\)
• B)
• \(\frac { z ^ { 15 } } { 64 x ^ { 33 } y ^ { 15 } }\)
• C) \(\quad \frac { z ^ { 15 } } { 64 x ^ { 15 } y ^ { 33 } }\)
• D)\(\frac { z ^ { 5 } } { 4 x ^ { 11 } y ^ { 5 } }\)
• E)\(\frac { z ^ { 15 } } { 64 x ^ { - 33 } y ^ { - 15 } }\)

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.