Simply the Expression $$\left( \frac { c ^ { 6 } } { c - d } \right) ^ { - 3 } \left( \frac { c ^ { 6 } } { c - d } \right) ^ { \frac { 7 } { 6 } }$$

question 158

Multiple Choice

Simply the expression. Assume that all variable expressions represent positive real numbers.
- $$\left( \frac { c ^ { 6 } } { c - d } \right) ^ { - 3 } \left( \frac { c ^ { 6 } } { c - d } \right) ^ { \frac { 7 } { 6 } }$$

• A) \(c ^ { 25 } ( c - d ) ^ { \frac { 11 } { 6 } }\)
• B) \(\frac { c ^ { 11 } } { ( c - d ) ^ { \frac { 11 } { 6 } } }\)
• C) \(c ^ { 11 } ( c - d ) ^ { \frac { 11 } { 6 } }\)
• D) \(\frac { ( c - d ) ^ { \frac { 11 } { 6 } } } { c ^ { 11 } }\)

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Definitions:

Sciatic Nerve

A major nerve extending from the lower end of the spinal cord down the back of the thigh, and dividing into the tibial and common peroneal nerves.

Common Fibular Nerve

A nerve in the leg that supplies muscles that flex the foot and toes, and provides sensation over part of the foot.

Sciatic Nerve

The longest and widest single nerve in the body, running from the lower back down through the leg.

Nerve Plexus

A network of intersecting nerves or nerve fibers.