Use Properties of Rational Exponents to Simplify the Expression $\frac { \left( 3 x ^ { 5 / 7 } \right) ^ { 4 } } { x ^ { 1 / 7 } }$

question 28

Multiple Choice

Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.
- $\frac { \left( 3 x ^ { 5 / 7 } \right) ^ { 4 } } { x ^ { 1 / 7 } }$

• A) \(81 x ^ { 19 / 7 }\)
• B) \(27 x ^ { 8 / 7 }\)
• C) \(3 x ^ { 19 / 7 }\)
• D) \(81 x ^ { 5 }\)

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Definitions:

Prime Costs

The sum of direct materials and direct labor expenses directly involved in the manufacturing of a product.

Direct Materials

Raw materials that can be directly attributed to the production of goods, forming a significant part of the finished product.

Period Costs

Expenses that are not directly tied to the production of goods or services and are charged to the period in which they are incurred, such as selling, general, and administrative expenses.

Balance Sheet

A financial statement that presents a company's financial position at a specific point in time, including assets, liabilities, and equity.