Use the Product Rule to Simplify the Expression $\left( 4 x ^ { 5 } \right) \left( - 9 x ^ { 7 } \right.$

Multiple Choice

Use the product rule to simplify the expression.
- $\left( 4 x ^ { 5 } \right) \left( - 9 x ^ { 7 } \right.$

A) $36 x ^ { 12 }$
B) $36 x ^ { 35 }$
C) $- 36 x ^ { 12 }$
D) $- 36 x ^ { 35 }$