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:

Addition Polymerization

A chemical reaction where monomers add together without the loss of atoms to form very long chain molecules or polymers.

Maleic Anhydride

Maleic anhydride is an organic compound with the formula C4H2O3, used in the production of various polymers, resins, and as a chemical intermediate.

Alternating Copolymer

A polymer made from two different monomers arranged in an alternating sequence along the polymer chain, providing unique physical and chemical properties.

Monomers

Small molecules that can join with other similar molecules to form large molecules called polymers, fundamental to the structure of plastics, proteins, and other vital substances.