Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   38         35
  (——•(103))+(——•(22•52))
   10         10

Step  2  :

            7
 Simplify   —
            2

Equation at the end of step  2  :

   38              7
  (—— • (103)) +  (— • (22•52))
   10              2

Step  3  :

Raising to a Power :

 3.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Equation at the end of step  3  :

   38              
  (—— • (103)) +  350
   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)) +  350
   10                 

Step  5  :

            19
 Simplify   ——
            5 

Equation at the end of step  5  :

   19                 
  (—— • (23•53)) +  350
   5                  

Step  6  :

Dividing exponents :

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

Equation at the end of step  6  :

  3800 +  350

Step  7  :

Final result :

  4150