Use the Properties of Exponents to Simplify the Expression $$\left( 2 x ^ { - 1 / 3 } y ^ { 1 / 3 } \right) \left( - 8 x ^ { 1 / 4 } y ^ { - 1 / 6 } \right)$$

question 39

Multiple Choice

Use the properties of exponents to simplify the expression. Write with positive exponents.
- $$\left( 2 x ^ { - 1 / 3 } y ^ { 1 / 3 } \right) \left( - 8 x ^ { 1 / 4 } y ^ { - 1 / 6 } \right)$$

• A) \(\frac { - 16 } { x ^ { 1 / 12 } y ^ { 1 / 18 } }\)
• B) \(\frac { 16 x ^ { 1 / 12 } } { y ^ { 1 / 6 } }\)
• C) \(\frac { - 16 y ^ { 1 / 6 } } { x ^ { 1 / 12 } }\)
• D) \(\frac { - 6 } { x ^ { 1 / 12 } y ^ { 1 / 18 } }\)

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Definitions:

Predetermined Overhead Rate

A rate used to allocate estimated overhead costs to products or job orders, based on a particular activity base.

Direct Labor Hours

The total hours worked by employees directly involved in the production of goods or services, often used to allocate labor costs to products.

Overhead

All indirect costs of running a business that are not directly associated with the production of goods or services, such as rent, utilities, and administrative salaries.

Direct Labor

The wages and benefits paid to employees who directly manufacture or produce the products of a company.