Simplify the Expression Without Using a Calculator $\log _ { 6 } \sqrt { \frac { 1 } { 216 } }$

question 168

Multiple Choice

Simplify the expression without using a calculator.
- $\log _ { 6 } \sqrt { \frac { 1 } { 216 } }$

• A) \(- \frac { 3 } { 2 }\)
• B) \(- \frac { 2 } { 3 }\)
• C) \(\frac { 3 } { 2 }\)
• D) \(\frac { 2 } { 3 }\)

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Definitions:

Addition Products

Compounds formed by the direct addition of two or more substances, typical in reactions of alkenes and alkynes with reagents.

Carbocation Intermediate

A positively charged intermediate species featuring a carbon atom with three bonds and a vacant p-orbital, playing a critical role in many organic reactions.

Solvolysis

A chemical process in which the solvation medium, typically a solvent, participates in the cleavage of a bond within a solute, leading to the formation of new substances.

Hot Ethanol

A term referring to the condition or process involving ethanol at elevated temperatures, often used in chemical reactions and extractions.