Rewrite the Logarithmic Equation $\log _ { 6 } \frac { 1 } { 36 } = - 2$

Multiple Choice

Rewrite the logarithmic equation $\log _ { 6 } \frac { 1 } { 36 } = - 2$ in exponential form.

A) $6 ^ { 36 } = - 2$
B) $6 ^ { 1 / 36 } = - 2$
C) $6 ^ { - 2 } = \frac { 1 } { 36 }$
D) $\left( \frac { 1 } { 36 } \right) ^ { - 2 } = 6$
E) $6 ^ { - 2 } = - \frac { 1 } { 36 }$