Perform the Indicated Operations $$\frac { x ^ { 1 / 2 } } { \left( x ^ { 2 } \right) ^ { - 1 / 2 } } \cdot \frac { x ^ { 2 / 5 } } { x ^ { - 3 / 10 } }$$

question 169

Multiple Choice

Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent
positive real numbers.
- $$\frac { x ^ { 1 / 2 } } { \left( x ^ { 2 } \right) ^ { - 1 / 2 } } \cdot \frac { x ^ { 2 / 5 } } { x ^ { - 3 / 10 } }$$

• A) \(x ^ { 22 / 7 }\)
• B) \(\frac { 1 } { x ^ { 22 / 7 } }\)
• C) \(x ^ { 11 / 5 }\)
• D) \(\frac { 1 } { \mathrm { x } ^ { 11 / 5 } }\)

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Definitions:

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Substances that increase alertness, attention, and energy by elevating the levels of key neurotransmitters in the brain.

Cocaine

A powerful stimulant drug derived from the leaves of the coca plant, known for its addictive properties and potential for abuse.

Amphetamine

A stimulant that affects the central nervous system, commonly used to treat ADHD and narcolepsy.

Dopamine

A neurotransmitter important in reward, motivation, and motor control, often linked to pleasure and addiction.