Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.14" was replaced by "(714/100)". 2 more similar replacement(s)

Step  1  :

            357
 Simplify   ———
            50 

Equation at the end of step  1  :

   785             357
  (——— • (103)) +  ———
   100             50 

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

   785               357
  (——— • (23•53)) +  ———
   100               50 

Step  3  :

            157
 Simplify   ———
            20 

Equation at the end of step  3  :

   157               357
  (——— • (23•53)) +  ———
   20                50 

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Dividing exponents :

 4.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  4  :

          357
  7850 +  ———
          50 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  50  as the denominator :

             7850     7850 • 50
     7850 =  ————  =  —————————
              1          50    

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 :

 5.2       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:

 7850 • 50 + 357     392857
 ———————————————  =  ——————
       50              50  

Final result :

  392857              
  —————— = 7857.14000 
    50