Simplify the Expression $$\frac { 4 } { \sqrt [ 3 ] { 3 } } - \frac { 36 } { \sqrt [ 3 ] { 24 } } + \frac { 1 } { \sqrt [ 3 ] { 81 } }$$

question 587

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\frac { 4 } { \sqrt [ 3 ] { 3 } } - \frac { 36 } { \sqrt [ 3 ] { 24 } } + \frac { 1 } { \sqrt [ 3 ] { 81 } }$$

• A) \(- \frac { 85 } { 18 } \sqrt [ 3 ] { 9 }\)
• B) \(- \frac { 41 } { 9 } \sqrt [ 3 ] { 9 }\)
• C) \(\frac { 40 } { 9 } \sqrt [ 3 ] { 3 }\)
• D) \(- \frac { 46 } { 9 } \sqrt [ 3 ] { 3 }\)

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Definitions:

Thalamus

A critical brain structure that acts as a relay station, directing sensory signals to the appropriate areas of the brain for processing.

Forebrain

The front section of the brain, encompassing the cerebral hemispheres, thalamus, and hypothalamus, plays a crucial role in advanced cognitive and behavioral activities.

Sensory Information

Data received from the environment through the senses like sight, hearing, smell, taste, and touch, which is then interpreted by the brain.

Spinal Cord

A slender, elongated structure composed of nerve tissue that stretches from the medulla oblongata in the brainstem to the lumbar segment of the spine.