Simplify Write the Answer Using Positive Exponents Only $\left( \frac { 9 x ^ { - 3 } y ^ { 3 } } { 3 x y ^ { - 3 } } \right) ^ { - 2 }$

question 291

Multiple Choice

Simplify. Write the answer using positive exponents only.
- $\left( \frac { 9 x ^ { - 3 } y ^ { 3 } } { 3 x y ^ { - 3 } } \right) ^ { - 2 }$

• A) \(\frac { 3 x ^ { 8 } } { y ^ { 12 } }\)
• B) \(\frac { x ^ { 8 } } { 9 y ^ { 12 } }\)
• C) \(\frac { x ^ { 4 } } { 9 y ^ { 12 } }\)
• D) \(\frac { x ^ { 8 } y ^ { 12 } } { 9 }\)

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Definitions:

Population Parameter

A numerical value that represents a characteristic of an entire population, such as its mean, variance, or standard deviation.

Population Variance

The variance computed for the entire population, reflecting the spread of all values in that population.

Sample Standard Deviation

A measure of the dispersion or variability in a sample dataset, quantifying the amount of variation or spread of data points.

Unbiased Estimator

An unbiased estimator is a statistical estimator that, on average, equals the parameter being estimated, ensuring accuracy over many samples.