Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.14" was replaced by "(314/100)". 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  :

   602         314
  (———•(103))+(———•(22•52))
   100         100

Step  2  :

            157
 Simplify   ———
            50 

Equation at the end of step  2  :

   602              157
  (——— • (103)) +  (——— • (22•52))
   100              50 

Step  3  :

Dividing exponents :

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

Raising to a Power :

 3.2      Canceling out  5² as it appears on both sides of the fraction line

Equation at the end of step  3  :

   602              
  (——— • (103)) +  314
   100              

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   602                 
  (——— • (23•53)) +  314
   100                 

Step  5  :

            301
 Simplify   ———
            50 

Equation at the end of step  5  :

   301                 
  (——— • (23•53)) +  314
   50                  

Step  6  :

Dividing exponents :

 6.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 6.2    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Equation at the end of step  6  :

  6020 +  314

Step  7  :

Final result :

  6334