Simplify the Following Algebraic Expression and Express Your Answer Using $\left( a ^ { - 1 } v ^ { - 2 } \right) ^ { 7 }$

question 1

Multiple Choice

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( a ^ { - 1 } v ^ { - 2 } \right) ^ { 7 }$

• A) \(a ^ { 8 } v ^ { 9 }\)
• B) \(\frac { 1 } { a ^ { 8 } v ^ { 9 } }\)
• C) \(\frac { 1 } { a ^ { 6 } v ^ { 5 } }\)
• D) \(a ^ { 7 } v ^ { 14 }\)
• E) \(\frac { 1 } { a ^ { 7 } v ^ { 14 } }\)

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Definitions:

Glucose Metabolism

The process by which cells break down glucose to produce energy, involving glycogenesis, glycolysis, and the citric acid cycle.

Backward Speech

The phenomenon of speech sounds being reversed; often used in studies of language processing and perception.

Independent Variable

The variable that the experimenter manipulates as a basis for making predictions about the dependent variable.

Dependent Variable

In experimental and statistical research, the dependent variable is the outcome being studied, expected to change when the independent variable is altered.