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

question 55

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) \(\frac { 1 } { a ^ { 7 } v ^ { 14 } }\)

---

Definitions:

Corruption

The abuse of entrusted power for private gain, often undermining democracy and good governance.

Speakeasies

Illicit establishments that sold alcoholic beverages during the Prohibition era in the United States.

Louis Brandeis

An American lawyer and Associate Justice on the Supreme Court of the United States from 1916 to 1939, known for his advocacy of privacy rights and progressive policies.

Civil Liberties

Basic rights and freedoms guaranteed to individuals, often protected from government interference, such as freedom of speech and religion.