Use the Rules of Exponents to Simplify the Expression $\left( 2 x ^ { 4 } y ^ { 6 } \right) ^ { - 2 }$

Multiple Choice

Use the rules of exponents to simplify the expression $\left( 2 x ^ { 4 } y ^ { 6 } \right) ^ { - 2 }$ using only positive exponents. Assume that neither x nor y is 0.

A) $2 x ^ { 2 } y ^ { 4 }$
B) $\frac { 1 } { 4 x ^ { 8 } y ^ { 12 } }$
C) $\frac { 1 } { 2 x ^ { 8 } y ^ { 12 } }$
D) $4 x ^ { 2 } y ^ { 4 }$
E) $\frac { 2 } { x ^ { 8 } y ^ { 12 } }$