LOGARITHMS B38

Evaluate the following giving your answer in standard form.

38.3 x 10^-4

   4 x 10^-20

Solution

=  38.3 x 10^-4

         4 x 10^-20

=  38.3  x   10^-4

     4         10^-20

=  9.575 x 10^{-4 –(-20)}

=  9.575 x 10^{-4 + 20}    

=  9.575 x 10¹⁶     

Hence   38.3 x 10^-4   = 9.575 x 10¹⁶     

                 4 x 10^-20