Rewrite the Logarithmic Equation $\log _ { 2 } \frac { 1 } { 4 } = - 2$

Multiple Choice

Rewrite the logarithmic equation $\log _ { 2 } \frac { 1 } { 4 } = - 2$ in exponential form.

A) $2 ^ { 4 } = - 2$
B) $2 ^ { 1 / 4 } = - 2$
C) $2 ^ { - 2 } = \frac { 1 } { 4 }$
D) $\left( \frac { 1 } { 4 } \right) ^ { - 2 } = 2$
E) $2 ^ { - 2 } = - \frac { 1 } { 4 }$