Perform the Indicated Operation $\left( 5.4 \times 10 ^ { - 6 } \right) \left( 1.8 \times 10 ^ { - 6 } \right) \left( 4.2 \times 10 ^ { 7 } \right)$

Multiple Choice

Perform the indicated operation. (Write the result in scientific notation with the decimal part rounded to three significant digits when necessary) . $\left( 5.4 \times 10 ^ { - 6 } \right) \left( 1.8 \times 10 ^ { - 6 } \right) \left( 4.2 \times 10 ^ { 7 } \right)$

A) $4.082 \times 10 ^ { 3 }$
B) $4.08 \times 10 ^ { - 3 }$
C) $4.082 \times 10 ^ { 4 }$
D) $4.07 \times 10 ^ { - 3 }$
E) $4.08 \times 10 ^ { - 4 }$