Rationalize the Denominator and Simplify $\frac { 7 } { \sqrt [ 3 ] { 9 x ^ { 2 } } }$

question 146

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 7 } { \sqrt [ 3 ] { 9 x ^ { 2 } } }$

• A) \(\frac { 7 \sqrt [ 3 ] { 9 x ^ { 2 } } } { 9 x ^ { 2 } }\)
• B) \(\frac { 7 \sqrt { 3 x } } { 3 x }\)
• C) \(\frac { 7 \sqrt [ 3 ] { x } } { x }\)
• D) \(\frac { 7 \sqrt [ 3 ] { 3 x } } { 3 x }\)

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Definitions:

Independent Variable

A variable in a functional relation whose value determines the value or values of other variables.

Coefficient Of Determination

A measure used in statistical analysis that assesses how well data points fit a line or curve, often symbolized as R^2.

Dependent Variable

A variable in a scientific experiment that is affected by another variable, called the independent variable, and is measured or observed.

Independent Variable

A variable in an experiment or model that is manipulated or changed to observe its effect on a dependent variable.