Simplify the Rational Expression $$m = p ^ { 1 / 2 } \cdot q ^ { 1 / 2 } . \text { Find } m \text {, if } p = 4 \text { and } q = 16$$

question 288

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
-In an economics study, three quantities m, p, and q have been found to be related by the equation $$m = p ^ { 1 / 2 } \cdot q ^ { 1 / 2 } . \text { Find } m \text {, if } p = 4 \text { and } q = 16$$

• A) 64
• B) 32
• C) 8
• D) 6

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Definitions:

Price Ceiling

A price cap established by the government to regulate the maximum charge for goods, services, or commodities.

Crude Oil

A natural, unrefined petroleum product composed of hydrocarbon deposits.

OPEC

The Organization of Petroleum Exporting Countries, an intergovernmental organization of oil-producing countries that aims to manage the supply of oil to stabilize prices and ensure steady earnings.

Price Ceiling

A government-imposed maximum price that can be charged for a good or service, intended to protect consumers from high prices.