Simplify the Rational Expression $\frac { 18 x ^ { 3 } y ^ { 6 } } { 45 x ^ { 5 } y ^ { 9 } }$

question 41

Multiple Choice

Simplify the rational expression. $\frac { 18 x ^ { 3 } y ^ { 6 } } { 45 x ^ { 5 } y ^ { 9 } }$

• A) \(\frac { 5 } { 2 } x ^ { 2 } y ^ { 3 } \quad (\) Provided \(x \neq 0 , y \neq 0\) )
• B) \(\frac { 2 } { 5 x ^ { 2 } y ^ { 3 } }\)
• C) \(\frac { 18 } { 45 x ^ { 2 } y ^ { 3 } }\)
• D) \(\frac { 2 x ^ { 2 } } { 5 y ^ { 3 } } \quad\) (Provided \(\left. x \neq 0 \right)\)

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Definitions:

Semivariable Cost

Costs that have both fixed and variable components, changing in response to activity level but not directly proportional to it.

Variable Costs

Costs that change in proportion to the level of goods or services produced, including costs for materials and labor directly involved in production.

Total Costs

The sum of all expenses incurred in the production of goods or services, including fixed and variable costs.

Units

A basic measure of quantity in accounting or inventory management, representing a single item or element of output.