EXPONENTIALS K8

 

Evaluate the following giving your answer in standard form.

1982.7 x 10^-9

   5 x 10^-30

 

Solution

 

=  1982.7 x 10^-9

       5 x 10^-30

 

=  1982.7  x   10^-9

       5         10^-30

 

=  396.54 x 10^{-9 –(-30)}

 

=  396.54x 10^{-9 + 30}    

 

=  396.54x 10²¹      [then we change 396.54 into standard form as well]

 

= 3.9654x 10² x 10²¹   [when we have exponents with same base, we add  the powers.]

 

= 3.9654 x 10²³ [Since 10² x 10²¹

 

= 3.97 x 10²³ [correct to 2 d.p.]

 

Hence   1982.7 x 10^-9   = 3.97 x 10²³

                5 x 10^-20

 

 

TRY THIS………………..

 

Evaluate the following giving your answer in standard form.

21765 x 10^-9

   2 x 10^-30