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

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