Perform the Indicated Operations Using the Laws of Exponents $\frac { \left( 10 ^ { - 3 } \right) ^ { 7 } } { 10 ^ { 4 } \cdot 10 ^ { - 3 } }$

Multiple Choice

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\frac { \left( 10 ^ { - 3 } \right) ^ { 7 } } { 10 ^ { 4 } \cdot 10 ^ { - 3 } }$

A) $\frac { 1 } { 10 ^ { 22 } }$
B) $10 ^ { 3 }$
C) $10 ^ { 6 }$
D) $\frac { 1 } { 10 ^ { 3 } }$
E) $10 ^ { 22 }$