Simplify the Expression $$\left( 3 x ^ { - 4 } y ^ { - 6 } z ^ { 5 } \right) ^ { - 5 }$$

question 57

Multiple Choice

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero
real numbers.)
- $$\left( 3 x ^ { - 4 } y ^ { - 6 } z ^ { 5 } \right) ^ { - 5 }$$

• A) 0
• B) \(\frac { x ^ { 20 } y ^ { 30 } } { 243 z ^ { 25 } }\)
• C) \(\frac { 3 x ^ { 20 } y ^ { 30 } } { z ^ { 25 } }\)
• D) \(\frac { x ^ { 20 } y ^ { 30 } } { z ^ { 25 } }\)

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Definitions:

Protein-Coding Sequence

A segment of DNA or RNA that is translated into a protein, containing instructions for the amino acid sequence of the protein.

Gene Expression

The process by which information from a gene is used to synthesize a functional gene product, often a protein, which can affect a cell's structure and function.

Signal Molecules

Chemical substances produced by cells that are used to communicate with or signal other cells, orchestrating a wide range of physiological responses.

Phenotypic Traits

Observable characteristics of an organism, which result from the interaction of its genotype with the environment.