Simplify the Radical Expression $\frac { \sqrt [ 4 ] { 486 x ^ { 17 } } } { \sqrt [ 4 ] { 6 x } }$

question 129

Multiple Choice

Simplify the radical expression. Assume that all variables represent positive real numbers.
- $\frac { \sqrt [ 4 ] { 486 x ^ { 17 } } } { \sqrt [ 4 ] { 6 x } }$

• A) \(3 x ^ { 4 }\)
• B) \(3 x ^ { 4 } \sqrt [ 4 ] { x }\)
• C) \(x ^ { 4 } \sqrt [ 4 ] { 3 }\)
• D) \(x ^ { 4 } \sqrt [ 4 ] { 6 }\)

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Definitions:

Nash Equilibrium

An idea in game theory where a player cannot benefit by changing their own strategy alone, assuming the strategies of other players are constant.

Marginal Cost

The increase in cost that arises from producing one additional unit of a good or service.

Homogeneous Products

Goods that are essentially identical, offered by different sellers within a market.

First-mover Advantage

The competitive advantage gained by the initial ("first-moving") significant occupant of a market segment.