===============================================
Explanation:
Think of the first 3 as 3.0
The exponent -3 tells us to move the decimal point three spaces to the left
So the 3.0 turns into 0.003
We can say [tex]3.0 \times 10^{-3} = 0.003[/tex]
--------------
Other examples:
[tex]7.2 \times 10^{-2} = 0.072\\\\5.18 \times 10^{-1} = 0.518\\\\6.4 \times 10^{3} = 6400\\\\[/tex]
The negative exponent means "move that many spaces to the left", while the positive exponent has us move the decimal point that many spaces to the right.