Simplify the Expression $$\left( \frac { 2 x ^ { 4 } y ^ { 4 } } { z ^ { 4 } } \right) ^ { 4 }$$

question 622

Multiple Choice

Simplify the expression. Assume all variables represent nonzero real numbers.
- $$\left( \frac { 2 x ^ { 4 } y ^ { 4 } } { z ^ { 4 } } \right) ^ { 4 }$$

• A) \(\frac { 2 x ^ { 16 } y ^ { 16 } } { z ^ { 8 } }\)
• B) \(\frac { 16 x ^ { 8 } y ^ { 8 } } { z ^ { 8 } }\)
• C) \(\frac { 16 x ^ { 16 } y ^ { 16 } } { z ^ { 16 } }\)
• D) \(\frac { 2 x ^ { 16 } y ^ { 16 } } { z ^ { 16 } }\)

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Definitions:

Null Hypothesis

The hypothesis that there is no significant difference or effect, serving as the default assumption to be tested against the alternative hypothesis.

Population Proportions

The ratio of members in a statistical population that have a particular attribute or characteristic.

Type I Error

A statistical error that occurs when a true null hypothesis is incorrectly rejected.

Type II Error

The error that occurs when a statistical test fails to reject a false null hypothesis, incorrectly concluding that there is no effect or difference when there is.