Simplify the Expression $\left( \frac { 7 x ^ { - 5 } y ^ { 3 } z ^ { - 4 } } { 28 x ^ { 6 } y ^ { 11 } z ^ { - 9 } } \right) ^ { 3 }$

question 79

Multiple Choice

Simplify the expression. $\left( \frac { 7 x ^ { - 5 } y ^ { 3 } z ^ { - 4 } } { 28 x ^ { 6 } y ^ { 11 } z ^ { - 9 } } \right) ^ { 3 }$ Write the answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined.

• A)\(\frac { z ^ { 5 } } { 4 x ^ { 11 } y ^ { 8 } }\)
• B)
• \(\frac { z ^ { 15 } } { 64 x ^ { 24 } y ^ { 33 } }\)
• C) \(\frac { z ^ { 15 } } { 64 x ^ { 33 } y ^ { 24 } }\)
• D) \(\frac { z ^ { 15 } } { 64 x ^ { - 33 } y ^ { - 24 } }\)
• E) \(\frac { z ^ { 5 } } { 4 x ^ { 33 } y ^ { 24 } }\)

---

Definitions:

Substantia Gelatinosa

Two layers of the dorsal horns of the spinal cord.

Secondary Afferents

Nerve fibers that transmit sensory signals from primary afferent neurons to the central nervous system for processing.

Pain-Resistant Personality

Refers to an individual's ability to endure pain or adversity without showing physical or emotional suffering.

Conscientiousness

A personality trait marked by a tendency to be planful and goal-oriented, to delay gratification, and to follow norms and rules.