Solve the Equation by Expressing Each Side as a Power $$27 ^ { x } = \frac { 1 } { \sqrt { 3 } }$$

Multiple Choice

Solve the equation by expressing each side as a power of the same base and then equating exponents.
- $$27 ^ { x } = \frac { 1 } { \sqrt { 3 } }$$

A) $\left\{ - \frac { 1 } { 6 } \right\}$
B) $\left\{ \frac { 1 } { 6 } \right\}$
C) $\left\{ - \frac { 1 } { 3 } \right\}$
D) $\{ - 3 \}$