Simplify the Expression $\left( \frac { r ^ { 5 } r ^ { - 1 } } { r ^ { 6 } r ^ { - 6 } } \right) ^ { 4 }$

question 135

Multiple Choice

Simplify the expression. $\left( \frac { r ^ { 5 } r ^ { - 1 } } { r ^ { 6 } r ^ { - 6 } } \right) ^ { 4 }$ Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.

• A) \( r ^ { 4}\)
• B) \( r ^ { 24}\)
• C) \( r ^ { 0}\)
• D) \( r ^ { 16}\)

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Definitions:

Utility-maximizing

A principle in economics where consumers aim to get the greatest satisfaction from their spending, given their budget constraint.

Goods

Tangible items that are produced and are capable of being physically delivered to a consumer.

Px(MUx)

This expression denotes the price of a good (Px) multiplied by its marginal utility (MUx), commonly used in economic analysis of consumer choice.

MUx/MUy

Represents the marginal utility of good x relative to the marginal utility of good y, often used in consumer choice theory to analyze optimum consumption points.