Simplify the Expression $\left( z ^ { 6 } x ^ { 6 } \right) ^ { - 3 }$

question 48

Multiple Choice

Simplify the expression. Write the result using positive exponents only.
- $\left( z ^ { 6 } x ^ { 6 } \right) ^ { - 3 }$

• A) \(\frac { 1 } { ( z x ) ^ { 36 } }\)
• B) \(\mathrm { z } ^ { 9 } \mathrm { x } ^ { 9 }\)
• C) \(\frac { 1 } { \mathrm { z } ^ { 18 } \mathrm { x } ^ { 18 } }\)
• D) \(z ^ { 3 } x ^ { 3 }\)

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Definitions:

Jung

Refers to Carl Jung, a Swiss psychiatrist who founded analytical psychology, emphasizing the importance of the individual psyche and the personal quest for wholeness.

Personality

The combination of characteristics or qualities that form an individual's distinctive character, including behavioral patterns, emotions, and thoughts.

Self-Actualization

The achievement or satisfaction of individual talents and potential, seen as a fundamental motivation or necessity in all people.

Freud's Ideas

The theories and concepts developed by Sigmund Freud concerning the unconscious mind, psychosexual development, and the structure of personality.