Simplify Assume All Variables Represent Positive Real Numbers $\sqrt [ 3 ] { \frac { 11 m ^ { 9 } n ^ { 8 } } { 5 p ^ { 4 } } }$

question 267

Multiple Choice

Simplify. Assume all variables represent positive real numbers.
- $\sqrt [ 3 ] { \frac { 11 m ^ { 9 } n ^ { 8 } } { 5 p ^ { 4 } } }$

• A) \(\frac { m ^ { 3 } n \sqrt [ 3 ] { 55 n ^ { 2 } p ^ { 2 } } } { p ^ { 2 } }\)
• B) \(\frac { m ^ { 3 } n ^ { 2 } \sqrt [ 3 ] { 5 n ^ { 2 } p ^ { 2 } } } { p ^ { 2 } }\)
• C) \(\frac { m n ^ { 2 } \sqrt [ 3 ] { 275 n ^ { 2 } p ^ { 2 } } } { 5 }\)
• D) \(\frac { m ^ { 3 } n ^ { 2 } \sqrt [ 3 ] { 275 n ^ { 2 } p ^ { 2 } } } { 5 p ^ { 2 } }\)

---

Definitions:

Neural Network

A computational model designed to simulate the way human brains analyze and process information, consisting of interconnected nodes or neurons.

Linguistic Determinism

Linguistic determinism is the hypothesis that the structure of language affects its speakers' world view or cognition, and thus people's perceptions are relative to their spoken language.

Syntax

Syntax is the set of rules, principles, and processes that govern the structure of sentences in a given language, specifically the arrangement of words and phrases to create meaningful sentences.

Semantics

The branch of linguistics and logic concerned with meaning, including the ways meaning is structured in language and how changes in words and sentence structure affect meanings.