Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.6" was replaced by "(56/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   38         56
  (——•(103))+(——•(23•53))
   10         10

Step  2  :

            28
 Simplify   ——
            5 

Equation at the end of step  2  :

   38              28
  (—— • (103)) +  (—— • (23•53))
   10              5 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Raising to a Power :

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

Equation at the end of step  3  :

   38              
  (—— • (103)) +  5600
   10              

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   38                 
  (—— • (23•53)) +  5600
   10                 

Step  5  :

            19
 Simplify   ——
            5 

Equation at the end of step  5  :

   19                 
  (—— • (23•53)) +  5600
   5                  

Step  6  :

Dividing exponents :

 6.1    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  6  :

  3800 +  5600

Step  7  :

Final result :

  9400