Simplify the Expression $\sqrt [ 3 ] { \frac { 8 } { 9 x ^ { 2 } } }$

question 203

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $\sqrt [ 3 ] { \frac { 8 } { 9 x ^ { 2 } } }$

• A) \(\frac { \sqrt [ 3 ] { 648 x ^ { 2 } } } { 9 x }\)
• B) \(\frac { \sqrt [ 3 ] { 648 x } } { 81 }\)
• C) \(\frac { \sqrt [ 3 ] { 72 x } } { 9 x }\)
• D) \(\frac { \sqrt [ 3 ] { 24 x } } { 3 x }\)

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Definitions:

Tuberculosis

A potentially serious infectious disease that primarily affects the lungs and is caused by the bacterium Mycobacterium tuberculosis.

Positive

Affirmative in attitude or quality; indicative of the presence of a particular condition, substance, or feature.

Poliomyelitis

An infectious viral disease that affects the nervous system, potentially leading to paralysis.

Sequela

A condition resulting as a direct consequence of a disease, differing from the initial condition, indicating long-term effects.