Simplify the Complex Fraction $\frac { \frac { 3 x ^ { 5 } } { y ^ { 2 } } } { \frac { 6 x ^ { 2 } z ^ { 4 } } { y ^ { 4 } } }$

question 48

Multiple Choice

Simplify the complex fraction. $\frac { \frac { 3 x ^ { 5 } } { y ^ { 2 } } } { \frac { 6 x ^ { 2 } z ^ { 4 } } { y ^ { 4 } } }$ Assume that the denominators are not 0 .

• A) \( \frac { 1 } { 2 } x ^ { 3 } y ^ { 2 } z ^ { - 4 }\)
• B) \(\frac { 1 } { 2 } x ^ { 4 } y ^ { 2 } z ^ { 4 }\)
• C) \( \frac { 1 } { 2 } x ^ { 5 } y ^ { 2 } z ^ { - 4 }\)
• D) \(\frac { 1 } { 2 } x ^ { 3 } y ^ { 2 } z ^ { - 4 }\)

---

Definitions:

Big Five Personality Factors

A model that identifies five main dimensions of human personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Represents A Continuum

Describes something that exists within a range or sequence that has no clear divisions but gradually changes from one condition or form to another.

Intellectual Openness

A willingness to consider new ideas and to change one's mindset or beliefs based on new information.

Creative Problem Solving

An approach to addressing challenges in innovative ways, utilizing creativity to find unique solutions to complex problems.