Simplify the Expression $$\left( \frac { a ^ { 4 } } { b ^ { 5 } } \right) ^ { 2 }$$

question 543

Multiple Choice

Simplify the expression. Assume all variables represent nonzero real numbers.
- $$\left( \frac { a ^ { 4 } } { b ^ { 5 } } \right) ^ { 2 }$$

• A) \(\frac { a ^ { 8 } } { b ^ { 5 } }\)
• B) \(\frac { a ^ { 8 } } { b ^ { 10 } }\)
• C) \(\frac { a ^ { 5 } } { b ^ { 10 } }\)
• D) \(\frac { a ^ { 10 } } { b ^ { 8 } }\)

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Definitions:

Psychoanalytic Therapy

A therapeutic approach developed by Freud that aims to explore unconscious conflicts and drives influencing behavior.

Childhood Experiences

Events, both positive and negative, that occur during one's childhood and can significantly shape behavior, personality, and mental health.

Behavior Therapy

A type of psychotherapy that focuses on changing undesirable behaviors through conditioning and reinforcement methods.

Technique-centered

Focusing primarily on the methods or techniques used in a particular field or activity, often at the expense of broader considerations.