Solve the Equation $$2 ^ { x ^ { 2 } - 3 } = 64$$

Multiple Choice

Solve the equation.
- $$2 ^ { x ^ { 2 } - 3 } = 64$$

A) $\{ 3 \}$
B) $\{ \sqrt { 35 } , - \sqrt { 35 } \}$
C) $\{ 6 \}$
D) $\{ 3 , - 3 \}$