Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.03" was replaced by "(03/100)".

Step  1  :

             3 
 Simplify   ———
            100

Equation at the end of step  1  :

                3 
  600 • ((1 +  ———)12)
               100

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  100  as the denominator :

          1     1 • 100
     1 =  —  =  ———————
          1       100  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 100 + 3     103
 ———————  =  ———
   100       100

Equation at the end of step  2  :

         103
  600 • (———)12)
         100

Step  3  :

 3.1     100 = 2²•5² (100)¹² = (2²•5²)¹² = 2²⁴ • 5²⁴

Equation at the end of step  3  :

          10312  
  600 • —————————
        (224•524)

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2²⁴   = 2^{(3 - 24)} = 2^(-21) = ¹/_2²¹

Dividing exponents :

 4.2    5²   divided by   5²⁴   = 5^{(2 - 24)} = 5^(-22) = ¹/_5²²

Final result :

  (3•10312)             
  ————————— = 855.45653 
  (221•522)