Simplify Assume That All Variables Represent Positive Real Numbers $$\frac { \sqrt [ 3 ] { 625 x ^ { 17 } y ^ { 16 } } } { \sqrt [ 3 ] { 5 x ^ { 5 } y ^ { 2 } } }$$

question 193

Multiple Choice

Simplify. Assume that all variables represent positive real numbers.
- $$\frac { \sqrt [ 3 ] { 625 x ^ { 17 } y ^ { 16 } } } { \sqrt [ 3 ] { 5 x ^ { 5 } y ^ { 2 } } }$$

• A) \(25 x ^ { 6 } y ^ { 3 } \sqrt [ 3 ] { y }\)
• B) \(10 x ^ { 4 } y ^ { 5 }\)
• C) \(5 x ^ { 4 } y ^ { 4 } \sqrt [ 3 ] { y ^ { 2 } }\)
• D) \(5 x ^ { 3 } y ^ { 4 } \sqrt [ 3 ] { x ^ { 2 } }\)

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Definitions:

Analogical Representation

A mental representation of one thing that is similar in some way to another; used in problem-solving and reasoning.

Propositions

Statements or assertions that express judgments or opinions which can be either true or false.

Symbolic

Pertaining to symbols or symbolism; using symbols to represent ideas or qualities.

Predicate

The part of a sentence or clause that expresses what is said about the subject and is usually made up of a verb with or without objects, complements, or adverbial modifiers.