Simplify the Expression $$\sqrt { \frac { 54 a ^ { 2 } b } { c ^ { 2 } } }$$

question 267

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt { \frac { 54 a ^ { 2 } b } { c ^ { 2 } } }$$

• A) \(\frac { 3 a \sqrt { 6 b } } { c }\)
• B) \(\frac { a \sqrt { 54 b } } { c }\)
• C) \(\frac { 3 \sqrt { 6 a ^ { 2 } b } } { c }\)
• D) \(\frac { 9 a \sqrt { 6 b } } { c }\)

Identify the dynamic between average total cost and production scale in a natural monopoly.

Analyze the societal impacts of monopolistic practices and market structures.

Recognize the fundamental causes and effects of barriers to entry in creating monopolies.

Describe how exclusive rights and ownership contribute to monopoly power.

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Definitions:

Decentration

The cognitive ability to consider multiple aspects of a situation instead of focusing on a single viewpoint, a concept often discussed in developmental psychology.

Conservation of Number

A concept in cognitive development that reflects a child's ability to understand that the quantity of a set of items remains the same regardless of how they are arranged.

Spatial Rearrangements

Changes or modifications in the position or arrangement of objects in space.

Conservation-of-Number Task

A cognitive test used in developmental psychology to assess a child's understanding that a quantity does not change despite changes in its shape or arrangement.