We are to evaluate
[tex](3.0x10^{-5\text{ }})(2.0x10^9)[/tex]Removing the brackets, we have
[tex]3.0x2.0x10^{-5\text{ }}x10^9[/tex]=
[tex]=6x10^{-5\text{ }}x10^9[/tex]Applying the laws of indices
[tex]10^{a\text{ }}x10^b=10^{a+b}[/tex][tex]\begin{gathered} =6x10^{-5\text{ }}x10^9=6x10^{-5+9} \\ =6x10^4 \end{gathered}[/tex]The answer is 6 x 10^4 or 60000