Simplify the Radical Expression $\sqrt [ 3 ] { 343 x ^ { 4 } y ^ { 5 } }$

question 67

Multiple Choice

Simplify the radical expression. Assume that all variables represent positive real numbers.
- $\sqrt [ 3 ] { 343 x ^ { 4 } y ^ { 5 } }$

• A) \(7 x y \sqrt [ 3 ] { x y }\)
• B) \(2 x y \sqrt [ 3 ] { x y ^ { 2 } }\)
• C) \(7 x y \sqrt [ 3 ] { x y ^ { 2 } }\)
• D) \(7 x y \sqrt { x y ^ { 2 } }\)

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Definitions:

Wage Taker

An individual or entity that accepts the prevailing wage rates in the market due to the inability to influence them.

Wage Rate

A set amount of money given by an employer to an employee for services rendered, usually specified on an hourly or annual basis.

Purely Competitive

A market structure characterized by many buyers and sellers, free entry and exit, and a product so standard that no one controls the market price.

Imperfectly Competitive

A market structure characterized by a few dominant firms that have control over prices and high barriers to entry, limiting perfect competition.