Simplify the Complex Fraction $\frac { \left( \frac { x ^ { 6 } } { 45 } \right) } { \left( \frac { 7 x } { 75 } \right) }$

question 30

Multiple Choice

Simplify the complex fraction. $\frac { \left( \frac { x ^ { 6 } } { 45 } \right) } { \left( \frac { 7 x } { 75 } \right) }$

• A) \(\frac { 3 x ^ { 7 } } { 5 } , x \neq 0\)
• B) \(\frac { 5 x ^ { 7 } } { 7 } , x \neq 0\)
• C) \(\frac { 5 x ^ { 5 } } { 21 } , x \neq 0\)
• D) \(\frac { 3 x ^ { 5 } } { 35 } , x \neq 0\)
• E) \(\frac { 7 x ^ { 5 } } { 15 } , x \neq 0\)

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Definitions:

Salience

The quality of being particularly noticeable or important; the state at which something stands out from its background or context.

Stereotype Formation

The process by which individuals develop generalized beliefs or assumptions about particular groups of people, often based on limited or biased information.

External Motive

Influences or reasons for behavior that originate outside an individual, often involving rewards or punishments from the external environment.

Implicit Prejudiced Attitudes

Implicit prejudiced attitudes refer to unconsciously held prejudiced views towards certain groups or individuals which can influence behavior and decision-making without explicit awareness.