Simplify the Expression $$\left( \frac { r ^ { 5 } r ^ { - 1 } } { r ^ { 3 } r ^ { - 3 } } \right) ^ { 2 }$$

question 7

Multiple Choice

Simplify the expression. $$\left( \frac { r ^ { 5 } r ^ { - 1 } } { r ^ { 3 } r ^ { - 3 } } \right) ^ { 2 }$$
Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.

• A) \(r ^ { 2 }\)
• B) \(\quad r ^ { 8 }\)
• C) \(\quad r ^ { 0 }\)
• D) \(\quad r ^ { 12 }\)

---

Definitions:

Dialectical Behavior Therapy

A type of cognitive-behavioral therapy developed to help people cope with stress, regulate emotions, and improve relationships with self and others, especially effective for those with borderline personality disorder.

Cognitive-behavioral Therapy

A form of psychotherapeutic treatment that aims to change patterns of thinking or behavior that are behind people's difficulties, thereby changing the way they feel.

Meta-analysis

A statistical technique that combines the results of multiple scientific studies to arrive at a comprehensive conclusion.

Dialectical Behavior Therapy

A type of cognitive-behavioral therapy that emphasizes the psychosocial aspects of treatment, focusing on the synthesis or integration of opposites.