Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.85" was replaced by "(785/100)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   785                 
  (——— • (23•53)) +  7140
   100                 

Step  2  :

            157
 Simplify   ———
            20 

Equation at the end of step  2  :

   157                 
  (——— • (23•53)) +  7140
   20                  

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Dividing exponents :

 3.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  3  :

  7850 +  7140

Step  4  :

Final result :

  14990