Find the Product $$\mathrm { y } ^ { 1 / 3 } \left( \mathrm { y } ^ { 4 / 9 } - 6 \mathrm { y } ^ { 2 / 9 } \right)$$

question 387

Multiple Choice

Find the product. Assume variables represent positive real numbers.
- $$\mathrm { y } ^ { 1 / 3 } \left( \mathrm { y } ^ { 4 / 9 } - 6 \mathrm { y } ^ { 2 / 9 } \right)$$

• A) \(y ^ { 7 / 9 } - 6 y ^ { 5 / 9 }\)
• B) \(y ^ { 3 / 4 } - 6 y ^ { 3 / 2 }\)
• C) \(y ^ { 4 / 27 } - 6 y ^ { 2 / 27 }\)
• D) \(y ^ { - 1 / 9 } - 6 y ^ { 1 / 9 }\)

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Definitions:

Increase

A rise in quantity, size, amount, or degree.

Independent Variables

These are factors in a model or experiment that are adjusted or classified to examine their influence on the outcomes measured by dependent variables.

Error Variable

A random variable in statistical models representing the amount by which an observed outcome deviates from the predicted outcome, due to unexplained or random effects.

Multiple Regression

Multiple regression is a statistical technique that uses several explanatory variables to predict the outcome of a response variable.