Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.09" was replaced by "(09/100)".

Step  1  :

             9 
 Simplify   ———
            100

Equation at the end of step  1  :

                 9 
  1400 • ((1 +  ———)25)
                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 + 9     109
 ———————  =  ———
   100       100

Equation at the end of step  2  :

          109
  1400 • (———)25)
          100

Step  3  :

 3.1     100 = 2²•5² (100)²⁵ = (2²•5²)²⁵ = 2⁵⁰ • 5⁵⁰

Equation at the end of step  3  :

           10925  
  1400 • —————————
         (250•550)

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2⁵⁰   = 2^{(3 - 50)} = 2^(-47) = ¹/_2⁴⁷

Dividing exponents :

 4.2    5²   divided by   5⁵⁰   = 5^{(2 - 50)} = 5^(-48) = ¹/_5⁴⁸

Final result :

  (7•10925)               
  ————————— = 12072.31292 
  (247•548)