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) \(\frac { z ^ { 5 } } { 4 x ^ { 33 } y ^ { 24 } }\)

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Definitions:

Labor Demand Curve

A graphical representation showing the relationship between the wage rate and the quantity of labor employers are willing to hire.

Diminishing Returns

A principle stating that if one input in the production of a commodity is increased while other inputs are held fixed, a point will eventually be reached at which additions of the input yield progressively smaller, or diminishing, increases in output.

Imperfectly Competitive

A market structure characterized by many producers that have some control over the prices they charge, but where no single firm dominates the market.

Wage Rate

The amount of compensation individuals receive in exchange for their labor per unit of time, often expressed as an hourly wage.