Perform the Indicated Operations $$\left( \frac { n ^ { - 3 / 8 } } { x ^ { - 2 / 7 } } \right) ^ { 3 } \left( \frac { x ^ { 1 / 6 } } { n ^ { 1 / 5 } } \right) ^ { - 1 }$$

question 333

Multiple Choice

Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent
positive real numbers.
- $$\left( \frac { n ^ { - 3 / 8 } } { x ^ { - 2 / 7 } } \right) ^ { 3 } \left( \frac { x ^ { 1 / 6 } } { n ^ { 1 / 5 } } \right) ^ { - 1 }$$

• A) \(\frac { n ^ { 37 / 40 } } { x ^ { 29 / 42 } }\)
• B) \(\frac { x ^ { 43 / 42 } } { n ^ { 53 / 40 } }\)
• C) \(\frac { n ^ { 53 / 40 } } { x ^ { 43 / 42 } }\)
• D) \(\frac { x ^ { 29 / 42 } } { n ^ { 37 / 40 } }\)

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Definitions:

Direct Materials

Raw materials that are directly attributable to the production process and are part of the finished product.

Factory Supplies

Consumable items used in a manufacturing process, excluding raw materials and labor.

Sales Commissions

A portion of the sale amount given to salespersons as a reward for selling products or services.

Depreciation

The systematic allocation of the cost of a tangible asset over its useful life.