Write the Expression in Radical Form $\left( 6 x ^ { 2 } y ^ { 3 } \right) ^ { 5 / 3 }$

question 20

Multiple Choice

Write the expression in radical form. Assume that all variables represent positive real numbers.
- $\left( 6 x ^ { 2 } y ^ { 3 } \right) ^ { 5 / 3 }$

• A) \(\left( \sqrt [ 5 ] { \frac { 6 } { 5 } x ^ { 2 } y ^ { 3 } } \right) ^ { 3 }\)
• B) \(\left( \sqrt [ 5 ] { 6 x ^ { 2 } y ^ { 3 } } \right) ^ { 3 }\)
• C) \(\left( \sqrt [ 3 ] { 6 x ^ { 2 } y ^ { 3 } } \right) ^ { 5 }\)
• D) \(\left( \sqrt [ 3 ] { 2 x ^ { 2 } y ^ { 3 } } \right) ^ { 5 }\)

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Definitions:

Cognitive-Behavioral Therapy

A psychotherapeutic treatment that helps patients understand the thoughts and feelings that influence behaviors, aimed at changing negative patterns.

Psychoanalysis

Psychoanalysis is a set of psychological theories and therapeutic techniques related to the study of the unconscious mind, originally developed by Sigmund Freud.

Free Association

A psychoanalytic technique in which a patient speaks freely about thoughts, images, and sensations to explore unconscious processes.

Systematic Desensitization

A therapy method that gradually exposes a person to an anxiety-producing object or situation while teaching relaxation techniques.