Rationalize the Denominator and Simplify $\sqrt [ 4 ] { \frac { 81 } { 25 x ^ { 15 } } }$

question 127

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\sqrt [ 4 ] { \frac { 81 } { 25 x ^ { 15 } } }$

• A) \(\frac { 3 \sqrt [ 4 ] { 25 x ^ { 3 } } } { 5 x ^ { 4 } }\)
• B) \(\frac { 3 \sqrt [ 4 ] { 25 x } } { 5 x ^ { 3 } }\)
• C) \(\frac { 3 \sqrt [ 4 ] { 25 x } } { 5 x ^ { 4 } }\)
• D) \(\frac { 3 \sqrt [ 4 ] { 25 x ^ { 3 } } } { 5 x ^ { 3 } }\)

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Definitions:

Structures

The arrangement or organization of parts as dominant in a society, or in any particular context, defining its framework and function.

Figuration

A concept in sociology that refers to the dynamic patterns of interdependence among individuals or between individuals and society.

Interrelationships

The way in which two or more concepts, objects, or people are connected, affecting or influencing each other.

Norbert Elias

A German sociologist known for his work on the theory of civilizing processes, exploring the development of manners, social behavior, and the state's role.