Simplify the Expression $$8 \sqrt [ 5 ] { m ^ { 11 } p ^ { 7 } } - 2 m ^ { 2 } p \sqrt [ 5 ] { m p ^ { 2 } }$$

question 20

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$8 \sqrt [ 5 ] { m ^ { 11 } p ^ { 7 } } - 2 m ^ { 2 } p \sqrt [ 5 ] { m p ^ { 2 } }$$

• A) cannot be simplified
• B) \(6 m ^ { 2 } p \sqrt [ 5 ] { m p ^ { 2 } }\)
• C) \(10 \mathrm { mp } ^ { 2 } \sqrt [ 5 ] { \mathrm { mp } ^ { 2 } }\)
• D) 6

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Definitions:

Transition States

High-energy states through which reactants must pass for a chemical reaction to occur, representing a maximum in energy on the reaction path between reactants and products.

Endothermic

A reaction or process that absorbs heat from its surroundings, resulting in a temperature decrease in the external environment.

Frequency Factor

A term in chemical kinetics that represents the frequency of collisions that lead to a reaction, influenced by the orientation and energy of the reactants.

Arrhenius Equation

An equation that gives the rate of a reaction as a function of temperature, providing a basis for understanding temperature effects on rate.