Solve the Equation by Expressing Each Side as a Power $$4 ^ { ( 7 - 3 x ) } = \frac { 1 } { 16 }$$

Multiple Choice

Solve the equation by expressing each side as a power of the same base and then equating exponents.
- $$4 ^ { ( 7 - 3 x ) } = \frac { 1 } { 16 }$$

A) $\{ 3 \}$
B) $\left\{ \frac { 1 } { 4 } \right\}$
C) $\{ 4 \}$
D) $\{ - 3 \}$