Simplify the Expression and Write the Answer Without Negative Exponents $\left( x ^ { - 3 } y ^ { 6 } \right) ^ { - 3 }$

question 264

Multiple Choice

Simplify the expression and write the answer without negative exponents.
- $\left( x ^ { - 3 } y ^ { 6 } \right) ^ { - 3 }$

• A) \(\frac { y ^ { 3 } } { x ^ { - 6 } }\)
• B) \(\frac { x ^ { 9 } } { y ^ { 18 } }\)
• C) \(\frac { x ^ { - 6 } } { y ^ { 3 } }\)
• D) \(\frac { 1 } { x ^ { 9 } y ^ { 18 } }\)

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Definitions:

Systematic Desensitization

A behavioral therapy technique used to gradually reduce anxiety and fear through the use of relaxation and exposure to feared stimuli.

Shock Therapy

A form of medical treatment involving the application of electrical current to the brain, often used in psychiatry to treat severe mental disorders.

Conditioned Stimulus

A previously neutral stimulus that, after being paired repeatedly with an unconditioned stimulus, begins to trigger a conditioned response.

Unconditioned Stimulus

In classical conditioning, a stimulus that naturally triggers a response without any need for prior learning.