Find the Following Product and Express Answer in Simplest Radical $2 \sqrt [ 3 ] { 841 } ( 29 \sqrt [ 3 ] { 29 } - 58 \sqrt [ 3 ] { 841 } )$

question 194

Multiple Choice

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $2 \sqrt [ 3 ] { 841 } ( 29 \sqrt [ 3 ] { 29 } - 58 \sqrt [ 3 ] { 841 } )$

• A) \(58 \sqrt [ 3 ] { 29 } - 116 \sqrt [ 3 ] { 841 }\)
• B) \(58 - 3,364 \sqrt [ 3 ] { 29 }\)
• C) \(1,682 - 3,364 \sqrt [ 3 ] { 29 }\)
• D) \(1,682 - \sqrt [ 3 ] { 3,364 }\)
• E) \(1,682 - 116 \sqrt [ 3 ] { 841 }\)

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Definitions:

Oligopoly

A market structure characterized by a small number of firms controlling a large share of the market, leading to limited competition.

Concentration Ratios

Statistical measures used to evaluate the degree of competition within markets by analyzing the market share of the largest firms.

Concentrated Industry

An industry characterized by a small number of large firms that have a significant market share, leading to reduced competition.

Herfindahl-Hirschman Index

A measure used to assess the level of competition within an industry, calculated by squaring the market share of each firm competing in the market and then summing the resulting numbers.