LOGARITHMS B23

Evaluate the following giving your answer in standard form.

228.7 x 10^-20

   5 x 10^-50

Solution

=  228.7 x 10^-20

       5 x 10^-50

=  228.7  x   10^-20

       5         10^-50

=  45.74 x 10^{-20 –(-50)}

=  45.74 x 10^-20+50    

=  45.74 x 10³⁰      then we change 45.74 into standard form as well

= 4.574 x 10¹ x 10³⁰   when we have exponents with same base, we add the

                                   Powers.

  

= 4.574 x 10¹⁺³⁰

= 4.574 x 10³¹

Hence   228.7 x 10^-20   = 4.574 x 10³¹

                 5 x 10^-50