Express the Following Expression in Simplest Radical Form $\sqrt { \frac { 128 y ^ { 3 } } { 49 x } }$

question 233

Multiple Choice

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { \frac { 128 y ^ { 3 } } { 49 x } }$

• A) \(\frac { 8 y \sqrt { 2 x y } } { 7 }\)
• B) \(\frac { 8 y ^ { 2 } \sqrt { 2 x y } } { x }\)
• C) \(\frac { 8 y \sqrt { 2 x y } } { 7 x }\)
• D) \(\frac { 8 \sqrt { 2 x y } } { 7 x }\)

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Definitions:

MR = MC Rule

An economic principle that states a firm will maximize its profit when its marginal revenue equals its marginal cost.

Additional Unit

Refers to the next unit of a good or service to be produced or consumed, often discussed in the context of marginal analyses, such as marginal cost or marginal utility.

MR = MC Rule

The MR=MC rule states that profit maximization occurs when a firm produces at a level where marginal revenue equals marginal cost.

Price Taker

A market participant that accepts market prices as given and cannot influence those prices.