Use the Properties of Exponents to Simplify the Expression $\frac { \left( 2 x ^ { 1 / 4 } \right) ^ { 7 } } { x ^ { - 2 / 7 } }$

question 148

Multiple Choice

Use the properties of exponents to simplify the expression. Write with positive exponents.
- $\frac { \left( 2 x ^ { 1 / 4 } \right) ^ { 7 } } { x ^ { - 2 / 7 } }$

• A) \(128 x ^ { 41 / 28 }\)
• B) \(128 x ^ { 57 / 28 }\)
• C) \(2 x ^ { 41 / 28 }\)
• D) \(2 x ^ { 57 / 28 }\)

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Definitions:

Psychology Major

An academic program focusing on the study of the mind, behaviors, and mental processes.

Correlation Coefficients

A statistical measure that indicates the extent to which two or more variables fluctuate together. A positive correlation indicates a direct relationship, while a negative correlation indicates an inverse relationship.

Negative Correlation

A relationship between two variables in which one variable increases as the other decreases, and vice versa.

Positive Correlation

A relationship between two variables where they move in the same direction, indicating that as one variable increases, so does the other.