Simplify the Complex Fraction $\frac { \frac { 4 x ^ { 2 } } { y ^ { 4 } } } { \frac { 8 x ^ { 3 } z ^ { 3 } } { y ^ { 2 } } }$

question 38

Multiple Choice

Simplify the complex fraction. $\frac { \frac { 4 x ^ { 2 } } { y ^ { 4 } } } { \frac { 8 x ^ { 3 } z ^ { 3 } } { y ^ { 2 } } }$ Assume that the denominators are not 0.

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

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Definitions:

Double-subscripted Variables

Variables that are identified by two subscripts, often used to signify the position or relationship in a matrix or grid format.

Projected Number

An estimate or forecast of a numerical value or quantity in the future, based on current data and trends.

Standard Suites

This term is not well-defined in a general context and could possibly pertain to a specific industry’s set of benchmarks, guidelines, or specifications. Without additional information, a precise definition cannot be provided, so per instruction, NO.

Objective Function

a mathematical function that represents the goal of an optimization problem, typically maximizing or minimizing some quantity.