Simplify the Expression $$\frac { \left( 4 x ^ { 3 } \right) ^ { 3 } z ^ { 2 } } { 4 z ^ { 5 } }$$

question 182

Multiple Choice

Simplify the expression. Assume that the variables in the denominator are nonzero.
- $$\frac { \left( 4 x ^ { 3 } \right) ^ { 3 } z ^ { 2 } } { 4 z ^ { 5 } }$$

• A) \(\frac { x ^ { 9 } } { 16 z ^ { 3 } }\)
• B) \(\frac { 16 x ^ { 9 } } { z ^ { 3 } }\)
• C) \(16 x ^ { 9 } z ^ { 3 }\)
• D) \(\frac { x ^ { 9 } } { z ^ { 3 } }\)

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Definitions:

Degree Of Operating Leverage

A ratio that measures a company's fixed costs as a proportion of its total costs, indicating how a change in sales will affect its operating income.

Contribution Format

A type of income statement where costs are separated into variable and fixed categories, highlighting the contribution margin.

Operating Leverage

A measure of how revenue growth translates into growth in operating income, determined by the proportion of fixed costs in a company's cost structure.

Sales Increase

The rise in the volume or amount of sales over a specific period, reflecting business growth.