Simplify Write the Answer in Exponential Form Without Negative Exponents $14 x ^ { 2 / 7 } \cdot 2 x ^ { - 9 / 4 }$

question 110

Multiple Choice

Simplify. Write the answer in exponential form without negative exponents.
- $14 x ^ { 2 / 7 } \cdot 2 x ^ { - 9 / 4 }$

• A) \(\frac { 7 } { x ^ { 55 / 28 } }\)
• B) \(\frac { 28 } { x ^ { 55 / 28 } }\)
• C) \(- 28 x ^ { 55 / 28 }\)
• D) \(\frac { 1 } { 28 x ^ { 55 / 28 } }\)

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Definitions:

Inverse Relationship

A scenario in which two variables exhibit inverse behavior, such that an increase in one results in a decrease in the other.

Aggregate Demand

The all-inclusive need for goods and services across an economy, priced at an established level, during a certain time interval.

Natural Rate

The equilibrium unemployment rate arising from all sources except cyclical fluctuations, often considered the normal level of unemployment in an economy.

Continuous Inflation

Continuous inflation refers to a sustained increase in the general price level of goods and services in an economy over a period of time, eroding purchasing power.