Use the Properties of Exponents to Simplify the Expression $\left[ \left( 7 ^ { - 1 } \right) \left( 7 ^ { \frac { 3 } { 5 } } \right) \right] ^ { 5 }$

Multiple Choice

Use the properties of exponents to simplify the expression $\left[ \left( 7 ^ { - 1 } \right) \left( 7 ^ { \frac { 3 } { 5 } } \right) \right] ^ { 5 }$ .

A) $\frac { 1 } { 343 }$
B) 343
C) $\frac { 1 } { 16807 }$
D) $\frac { 1 } { 49 }$
E) 49