Use the Laws of Exponents to Simplify $\frac { 5.1 ^ { - 9 / 10 } } { 5.1 ^ { - 8 / 5 } }$

question 72

Multiple Choice

Use the laws of exponents to simplify. Write the answer with positive exponents.
- $\frac { 5.1 ^ { - 9 / 10 } } { 5.1 ^ { - 8 / 5 } }$

• A) \(5.1 ^ { 7 / 5 }\)
• B) \(\frac { 1 } { 5.1 ^ { 7 / 10 } }\)
• C) \(\frac { 1 } { 5.1 ^ { 7 / 5 } }\)
• D) \(5.1 ^ { 7 / 10 }\)

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Definitions:

Contribution Margin

The difference between the sales revenue of a product and its variable costs, used to cover fixed costs and profit.

Break-Even Point

The level of production or sales at which total revenues equal total costs, resulting in neither profit nor loss.

Sales Mix

The combination of products that a company sells, which can affect profitability due to different margins on each product.

Fixed Expenses

Costs that do not change with the level of production or sales over a certain period, such as rent or salaries.