Divide and Simplify $\frac { 7 x y ^ { 7 } } { 10 u ^ { 6 } v } \div \frac { 21 x ^ { 9 } } { 45 u ^ { 5 } v }$

question 86

Multiple Choice

Divide and simplify. $\frac { 7 x y ^ { 7 } } { 10 u ^ { 6 } v } \div \frac { 21 x ^ { 9 } } { 45 u ^ { 5 } v }$

• A) \(\frac { 2 u v ^ { 8 } } { 3 u x ^ { 7 } } , v \neq 0\)
• B) \(\frac { 3 y ^ { 7 } } { 2 u x ^ { 8 } } , v \neq 0\)
• C) \(\frac { 7 x ^ { 8 } y ^ { 7 } } { 75 u ^ { 5 } v ^ { 2 } } , v \neq 0\)
• D) \(\frac { 49 x ^ { 8 } y ^ { 7 } } { 150 u ^ { 8 } v ^ { 2 } } , v \neq 0\)
• E) \(\frac { 5 v ^ { 2 } y ^ { 8 } } { 7 x ^ { 10 } } , v \neq 0\)

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Definitions:

Short Run

A period during which at least one factor of production is considered fixed, limiting the capacity to adjust production levels.

Continue to Operate

A business decision to keep running the operations despite challenges or low profitability in the short term.

Fixed Costs

Expenses that do not change in proportion to the activity of a business, such as rent or salaries.

Monopolistically Competitive

A market structure in which many firms sell products that are similar but not identical, allowing for some degree of market power.