Simplify the Expression $\left( - \frac { 8 } { 27 } \right) ^ { - \frac { 4 } { 3 } }$

question 16

Multiple Choice

Simplify the expression. $\left( - \frac { 8 } { 27 } \right) ^ { - \frac { 4 } { 3 } }$

• A) \(\frac { 16 } { 81 }\)
• B) \(\frac { 81 } { 16 }\)
• C) \(\frac { 2 } { 3 }\)
• D) \(\left( \frac { 3 } { 2 } \right) ^ { 4 }\)
• E) \(\frac { 3 } { 2 }\)

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Definitions:

Population Proportion

A measure that describes the percentage of a specific characteristic in a population.

Z-test

An analysis technique that evaluates the difference in means between two populations with known variances and substantial sample sizes.

Nominal Data

Data categorized without a natural order or ranking, distinguished merely by name.

Binomial Experiment

A statistical experiment that adheres to the following criteria: fixed number of trials, only two possible outcomes, constant probability of success, and independence between trials.