Evaluate the Expression $\left( \frac { 5 x } { 3 y } \right) ^ { - 1 }$

question 105

Multiple Choice

Evaluate the expression $\left( \frac { 5 x } { 3 y } \right) ^ { - 1 }$ when x=-8 and y=9 .

• A) \(- \frac { 27 } { 40 }\)
• B) \(\frac { 40 } { 27 }\)
• C) \(\frac { 27 } { 40 }\)
• D) \(- \frac { 40 } { 27 }\)
• E) \(- \frac { 15 } { 8 }\)

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Definitions:

Longitudinal Study

A research design that involves repeated observations of the same variables over short or long periods of time to detect patterns, trends, or changes.

Experimental Design

A plan for conducting research that is structured to test hypotheses by controlling and manipulating variables to establish cause-and-effect relationships.

Correlational Study

A research method that examines the relationship between two or more variables to determine if they are associated in some way.

Cross-Sectional Study

A type of observational study that analyzes data from a population, or a representative subset, at a specific point in time.