Perform the Indicated Operations $\frac { 5 r ^ { - 1 } \left( r ^ { 3 } \right) ^ { 4 } } { 2 \left( r ^ { - 2 } \right) ^ { - 2 } }$

Multiple Choice

Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
- $\frac { 5 r ^ { - 1 } \left( r ^ { 3 } \right) ^ { 4 } } { 2 \left( r ^ { - 2 } \right) ^ { - 2 } }$

A) $\frac { 5 } { 2 r ^ { 7 } }$
B) $\frac { 5 r ^ { 10 } } { 2 }$
C) $\frac { 5 } { 2 r ^ { 10 } }$
D) $\frac { 5 r ^ { 7 } } { 2 }$